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Simplifying 8(3x + -1) + -9(5x + -11) + -2(2x + -7) = 30findx Reorder the terms: 8(-1 + 3x) + -9(5x + -11) + -2(2x + -7) = 30findx (-1 * 8 + 3x * 8) + -9(5x + -11) + -2(2x + -7) = 30findx (-8 + 24x) + -9(5x + -11) + -2(2x + -7) = 30findx Reorder the terms: -8 + 24x + -9(-11 + 5x) + -2(2x + -7) = 30findx -8 + 24x + (-11 * -9 + 5x * -9) + -2(2x + -7) = 30findx -8 + 24x + (99 + -45x) + -2(2x + -7) = 30findx Reorder the terms: -8 + 24x + 99 + -45x + -2(-7 + 2x) = 30findx -8 + 24x + 99 + -45x + (-7 * -2 + 2x * -2) = 30findx -8 + 24x + 99 + -45x + (14 + -4x) = 30findx Reorder the terms: -8 + 99 + 14 + 24x + -45x + -4x = 30findx Combine like terms: -8 + 99 = 91 91 + 14 + 24x + -45x + -4x = 30findx Combine like terms: 91 + 14 = 105 105 + 24x + -45x + -4x = 30findx Combine like terms: 24x + -45x = -21x 105 + -21x + -4x = 30findx Combine like terms: -21x + -4x = -25x 105 + -25x = 30findx Solving 105 + -25x = 30dfinx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30dfinx' to each side of the equation. 105 + -30dfinx + -25x = 30dfinx + -30dfinx Combine like terms: 30dfinx + -30dfinx = 0 105 + -30dfinx + -25x = 0 Add '-105' to each side of the equation. 105 + -30dfinx + -105 + -25x = 0 + -105 Reorder the terms: 105 + -105 + -30dfinx + -25x = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -30dfinx + -25x = 0 + -105 -30dfinx + -25x = 0 + -105 Combine like terms: 0 + -105 = -105 -30dfinx + -25x = -105 Reorder the terms: 105 + -30dfinx + -25x = -105 + 105 Combine like terms: -105 + 105 = 0 105 + -30dfinx + -25x = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(21 + -6dfinx + -5x) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(21 + -6dfinx + -5x)' equal to zero and attempt to solve: Simplifying 21 + -6dfinx + -5x = 0 Solving 21 + -6dfinx + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -6dfinx + -21 + -5x = 0 + -21 Reorder the terms: 21 + -21 + -6dfinx + -5x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -6dfinx + -5x = 0 + -21 -6dfinx + -5x = 0 + -21 Combine like terms: 0 + -21 = -21 -6dfinx + -5x = -21 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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