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Simplifying 3(2x + -3) + -3 = 3(x + -4) + 27 Reorder the terms: 3(-3 + 2x) + -3 = 3(x + -4) + 27 (-3 * 3 + 2x * 3) + -3 = 3(x + -4) + 27 (-9 + 6x) + -3 = 3(x + -4) + 27 Reorder the terms: -9 + -3 + 6x = 3(x + -4) + 27 Combine like terms: -9 + -3 = -12 -12 + 6x = 3(x + -4) + 27 Reorder the terms: -12 + 6x = 3(-4 + x) + 27 -12 + 6x = (-4 * 3 + x * 3) + 27 -12 + 6x = (-12 + 3x) + 27 Reorder the terms: -12 + 6x = -12 + 27 + 3x Combine like terms: -12 + 27 = 15 -12 + 6x = 15 + 3x Solving -12 + 6x = 15 + 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. -12 + 6x + -3x = 15 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = 15 + 0 -12 + 3x = 15 Add '12' to each side of the equation. -12 + 12 + 3x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 15 + 12 3x = 15 + 12 Combine like terms: 15 + 12 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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