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Simplifying 3(x + -4) + -12 = 2(x + -6) + 5 Reorder the terms: 3(-4 + x) + -12 = 2(x + -6) + 5 (-4 * 3 + x * 3) + -12 = 2(x + -6) + 5 (-12 + 3x) + -12 = 2(x + -6) + 5 Reorder the terms: -12 + -12 + 3x = 2(x + -6) + 5 Combine like terms: -12 + -12 = -24 -24 + 3x = 2(x + -6) + 5 Reorder the terms: -24 + 3x = 2(-6 + x) + 5 -24 + 3x = (-6 * 2 + x * 2) + 5 -24 + 3x = (-12 + 2x) + 5 Reorder the terms: -24 + 3x = -12 + 5 + 2x Combine like terms: -12 + 5 = -7 -24 + 3x = -7 + 2x Solving -24 + 3x = -7 + 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. -24 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x -24 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 1x = -7 + 0 -24 + 1x = -7 Add '24' to each side of the equation. -24 + 24 + 1x = -7 + 24 Combine like terms: -24 + 24 = 0 0 + 1x = -7 + 24 1x = -7 + 24 Combine like terms: -7 + 24 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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