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Simplifying 4(x + -12) = 12(x + 4) Reorder the terms: 4(-12 + x) = 12(x + 4) (-12 * 4 + x * 4) = 12(x + 4) (-48 + 4x) = 12(x + 4) Reorder the terms: -48 + 4x = 12(4 + x) -48 + 4x = (4 * 12 + x * 12) -48 + 4x = (48 + 12x) Solving -48 + 4x = 48 + 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. -48 + 4x + -12x = 48 + 12x + -12x Combine like terms: 4x + -12x = -8x -48 + -8x = 48 + 12x + -12x Combine like terms: 12x + -12x = 0 -48 + -8x = 48 + 0 -48 + -8x = 48 Add '48' to each side of the equation. -48 + 48 + -8x = 48 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = 48 + 48 -8x = 48 + 48 Combine like terms: 48 + 48 = 96 -8x = 96 Divide each side by '-8'. x = -12 Simplifying x = -12
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