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Simplifying x + -3(2x + 3) = 2(3 + -2x) + -12 Reorder the terms: x + -3(3 + 2x) = 2(3 + -2x) + -12 x + (3 * -3 + 2x * -3) = 2(3 + -2x) + -12 x + (-9 + -6x) = 2(3 + -2x) + -12 Reorder the terms: -9 + x + -6x = 2(3 + -2x) + -12 Combine like terms: x + -6x = -5x -9 + -5x = 2(3 + -2x) + -12 -9 + -5x = (3 * 2 + -2x * 2) + -12 -9 + -5x = (6 + -4x) + -12 Reorder the terms: -9 + -5x = 6 + -12 + -4x Combine like terms: 6 + -12 = -6 -9 + -5x = -6 + -4x Solving -9 + -5x = -6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + -5x + 4x = -6 + -4x + 4x Combine like terms: -5x + 4x = -1x -9 + -1x = -6 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + -1x = -6 + 0 -9 + -1x = -6 Add '9' to each side of the equation. -9 + 9 + -1x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -6 + 9 -1x = -6 + 9 Combine like terms: -6 + 9 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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