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Simplifying -12(x + 1) = 4(x + 13) Reorder the terms: -12(1 + x) = 4(x + 13) (1 * -12 + x * -12) = 4(x + 13) (-12 + -12x) = 4(x + 13) Reorder the terms: -12 + -12x = 4(13 + x) -12 + -12x = (13 * 4 + x * 4) -12 + -12x = (52 + 4x) Solving -12 + -12x = 52 + 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 = 52 + 4x + -4x Combine like terms: -12x + -4x = -16x -12 + -16x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -16x = 52 + 0 -12 + -16x = 52 Add '12' to each side of the equation. -12 + 12 + -16x = 52 + 12 Combine like terms: -12 + 12 = 0 0 + -16x = 52 + 12 -16x = 52 + 12 Combine like terms: 52 + 12 = 64 -16x = 64 Divide each side by '-16'. x = -4 Simplifying x = -4
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