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Simplifying 3(x + -4) = 12(x + 1) Reorder the terms: 3(-4 + x) = 12(x + 1) (-4 * 3 + x * 3) = 12(x + 1) (-12 + 3x) = 12(x + 1) Reorder the terms: -12 + 3x = 12(1 + x) -12 + 3x = (1 * 12 + x * 12) -12 + 3x = (12 + 12x) Solving -12 + 3x = 12 + 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 + 3x + -12x = 12 + 12x + -12x Combine like terms: 3x + -12x = -9x -12 + -9x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -9x = 12 + 0 -12 + -9x = 12 Add '12' to each side of the equation. -12 + 12 + -9x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 12 + 12 -9x = 12 + 12 Combine like terms: 12 + 12 = 24 -9x = 24 Divide each side by '-9'. x = -2.666666667 Simplifying x = -2.666666667
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