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Simplifying 4(x + -3) = 12(x + 8) Reorder the terms: 4(-3 + x) = 12(x + 8) (-3 * 4 + x * 4) = 12(x + 8) (-12 + 4x) = 12(x + 8) Reorder the terms: -12 + 4x = 12(8 + x) -12 + 4x = (8 * 12 + x * 12) -12 + 4x = (96 + 12x) Solving -12 + 4x = 96 + 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. -12 + 4x + -12x = 96 + 12x + -12x Combine like terms: 4x + -12x = -8x -12 + -8x = 96 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -8x = 96 + 0 -12 + -8x = 96 Add '12' to each side of the equation. -12 + 12 + -8x = 96 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 96 + 12 -8x = 96 + 12 Combine like terms: 96 + 12 = 108 -8x = 108 Divide each side by '-8'. x = -13.5 Simplifying x = -13.5
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