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Simplifying 2inx + -1in(2x + -7) = in(9x) + -1in(x + 2) Reorder the terms: 2inx + -1in(-7 + 2x) = in(9x) + -1in(x + 2) 2inx + (-7 * -1in + 2x * -1in) = in(9x) + -1in(x + 2) 2inx + (7in + -2inx) = in(9x) + -1in(x + 2) Reorder the terms: 7in + 2inx + -2inx = in(9x) + -1in(x + 2) Combine like terms: 2inx + -2inx = 0 7in + 0 = in(9x) + -1in(x + 2) 7in = in(9x) + -1in(x + 2) Remove parenthesis around (9x) 7in = in * 9x + -1in(x + 2) Reorder the terms for easier multiplication: 7in = 9in * x + -1in(x + 2) Multiply in * x 7in = 9inx + -1in(x + 2) Reorder the terms: 7in = 9inx + -1in(2 + x) 7in = 9inx + (2 * -1in + x * -1in) 7in = 9inx + (-2in + -1inx) Reorder the terms: 7in = -2in + 9inx + -1inx Combine like terms: 9inx + -1inx = 8inx 7in = -2in + 8inx Solving 7in = -2in + 8inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2in' to each side of the equation. 7in + 2in = -2in + 2in + 8inx Combine like terms: 7in + 2in = 9in 9in = -2in + 2in + 8inx Combine like terms: -2in + 2in = 0 9in = 0 + 8inx 9in = 8inx Add '-8inx' to each side of the equation. 9in + -8inx = 8inx + -8inx Combine like terms: 8inx + -8inx = 0 9in + -8inx = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(9 + -8x) = 0Subproblem 1
Set the factor 'in' equal to zero and attempt to solve: Simplifying in = 0 Solving in = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Add '8x' to each side of the equation. -8x + 8x = -9 + 8x Combine like terms: -8x + 8x = 0 0 = -9 + 8x Simplifying 0 = -9 + 8x 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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