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Simplifying 3(3x + -9) + -4 = 3(x + -4) + 29 Reorder the terms: 3(-9 + 3x) + -4 = 3(x + -4) + 29 (-9 * 3 + 3x * 3) + -4 = 3(x + -4) + 29 (-27 + 9x) + -4 = 3(x + -4) + 29 Reorder the terms: -27 + -4 + 9x = 3(x + -4) + 29 Combine like terms: -27 + -4 = -31 -31 + 9x = 3(x + -4) + 29 Reorder the terms: -31 + 9x = 3(-4 + x) + 29 -31 + 9x = (-4 * 3 + x * 3) + 29 -31 + 9x = (-12 + 3x) + 29 Reorder the terms: -31 + 9x = -12 + 29 + 3x Combine like terms: -12 + 29 = 17 -31 + 9x = 17 + 3x Solving -31 + 9x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -31 + 9x + -3x = 17 + 3x + -3x Combine like terms: 9x + -3x = 6x -31 + 6x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -31 + 6x = 17 + 0 -31 + 6x = 17 Add '31' to each side of the equation. -31 + 31 + 6x = 17 + 31 Combine like terms: -31 + 31 = 0 0 + 6x = 17 + 31 6x = 17 + 31 Combine like terms: 17 + 31 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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