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Simplifying 4(x + -12) = 8 + 12x Reorder the terms: 4(-12 + x) = 8 + 12x (-12 * 4 + x * 4) = 8 + 12x (-48 + 4x) = 8 + 12x Solving -48 + 4x = 8 + 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 = 8 + 12x + -12x Combine like terms: 4x + -12x = -8x -48 + -8x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 -48 + -8x = 8 + 0 -48 + -8x = 8 Add '48' to each side of the equation. -48 + 48 + -8x = 8 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = 8 + 48 -8x = 8 + 48 Combine like terms: 8 + 48 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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