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Simplifying 3(x + -4) + -12 = 12(x + -4) + -8 Reorder the terms: 3(-4 + x) + -12 = 12(x + -4) + -8 (-4 * 3 + x * 3) + -12 = 12(x + -4) + -8 (-12 + 3x) + -12 = 12(x + -4) + -8 Reorder the terms: -12 + -12 + 3x = 12(x + -4) + -8 Combine like terms: -12 + -12 = -24 -24 + 3x = 12(x + -4) + -8 Reorder the terms: -24 + 3x = 12(-4 + x) + -8 -24 + 3x = (-4 * 12 + x * 12) + -8 -24 + 3x = (-48 + 12x) + -8 Reorder the terms: -24 + 3x = -48 + -8 + 12x Combine like terms: -48 + -8 = -56 -24 + 3x = -56 + 12x Solving -24 + 3x = -56 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + 3x + -12x = -56 + 12x + -12x Combine like terms: 3x + -12x = -9x -24 + -9x = -56 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -9x = -56 + 0 -24 + -9x = -56 Add '24' to each side of the equation. -24 + 24 + -9x = -56 + 24 Combine like terms: -24 + 24 = 0 0 + -9x = -56 + 24 -9x = -56 + 24 Combine like terms: -56 + 24 = -32 -9x = -32 Divide each side by '-9'. x = 3.555555556 Simplifying x = 3.555555556
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