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Simplifying 12(x + 1) = 3(rx + 9) + -15 Reorder the terms: 12(1 + x) = 3(rx + 9) + -15 (1 * 12 + x * 12) = 3(rx + 9) + -15 (12 + 12x) = 3(rx + 9) + -15 Reorder the terms: 12 + 12x = 3(9 + rx) + -15 12 + 12x = (9 * 3 + rx * 3) + -15 12 + 12x = (27 + 3rx) + -15 Reorder the terms: 12 + 12x = 27 + -15 + 3rx Combine like terms: 27 + -15 = 12 12 + 12x = 12 + 3rx Add '-12' to each side of the equation. 12 + -12 + 12x = 12 + -12 + 3rx Combine like terms: 12 + -12 = 0 0 + 12x = 12 + -12 + 3rx 12x = 12 + -12 + 3rx Combine like terms: 12 + -12 = 0 12x = 0 + 3rx 12x = 3rx Solving 12x = 3rx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3rx' to each side of the equation. -3rx + 12x = 3rx + -3rx Combine like terms: 3rx + -3rx = 0 -3rx + 12x = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-1r + 4) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1r + 4)' equal to zero and attempt to solve: Simplifying -1r + 4 = 0 Reorder the terms: 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Add 'r' to each side of the equation. -1r + r = -4 + r Combine like terms: -1r + r = 0 0 = -4 + r Simplifying 0 = -4 + r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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