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Simplifying 12(x + -1) = -4(x + -5) Reorder the terms: 12(-1 + x) = -4(x + -5) (-1 * 12 + x * 12) = -4(x + -5) (-12 + 12x) = -4(x + -5) Reorder the terms: -12 + 12x = -4(-5 + x) -12 + 12x = (-5 * -4 + x * -4) -12 + 12x = (20 + -4x) Solving -12 + 12x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 12x + 4x = 20 + -4x + 4x Combine like terms: 12x + 4x = 16x -12 + 16x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 16x = 20 + 0 -12 + 16x = 20 Add '12' to each side of the equation. -12 + 12 + 16x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 20 + 12 16x = 20 + 12 Combine like terms: 20 + 12 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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