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Simplifying 3(x + -3) + -12 = 2(x + -6) + 9 Reorder the terms: 3(-3 + x) + -12 = 2(x + -6) + 9 (-3 * 3 + x * 3) + -12 = 2(x + -6) + 9 (-9 + 3x) + -12 = 2(x + -6) + 9 Reorder the terms: -9 + -12 + 3x = 2(x + -6) + 9 Combine like terms: -9 + -12 = -21 -21 + 3x = 2(x + -6) + 9 Reorder the terms: -21 + 3x = 2(-6 + x) + 9 -21 + 3x = (-6 * 2 + x * 2) + 9 -21 + 3x = (-12 + 2x) + 9 Reorder the terms: -21 + 3x = -12 + 9 + 2x Combine like terms: -12 + 9 = -3 -21 + 3x = -3 + 2x Solving -21 + 3x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 3x + -2x = -3 + 2x + -2x Combine like terms: 3x + -2x = 1x -21 + 1x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 1x = -3 + 0 -21 + 1x = -3 Add '21' to each side of the equation. -21 + 21 + 1x = -3 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -3 + 21 1x = -3 + 21 Combine like terms: -3 + 21 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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