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Simplifying 3(x + -5) + -12 = 2(x + -6) + 3 Reorder the terms: 3(-5 + x) + -12 = 2(x + -6) + 3 (-5 * 3 + x * 3) + -12 = 2(x + -6) + 3 (-15 + 3x) + -12 = 2(x + -6) + 3 Reorder the terms: -15 + -12 + 3x = 2(x + -6) + 3 Combine like terms: -15 + -12 = -27 -27 + 3x = 2(x + -6) + 3 Reorder the terms: -27 + 3x = 2(-6 + x) + 3 -27 + 3x = (-6 * 2 + x * 2) + 3 -27 + 3x = (-12 + 2x) + 3 Reorder the terms: -27 + 3x = -12 + 3 + 2x Combine like terms: -12 + 3 = -9 -27 + 3x = -9 + 2x Solving -27 + 3x = -9 + 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. -27 + 3x + -2x = -9 + 2x + -2x Combine like terms: 3x + -2x = 1x -27 + 1x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 1x = -9 + 0 -27 + 1x = -9 Add '27' to each side of the equation. -27 + 27 + 1x = -9 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -9 + 27 1x = -9 + 27 Combine like terms: -9 + 27 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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