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Simplifying 4(x + 1) = 8(x + -1) + -12 Reorder the terms: 4(1 + x) = 8(x + -1) + -12 (1 * 4 + x * 4) = 8(x + -1) + -12 (4 + 4x) = 8(x + -1) + -12 Reorder the terms: 4 + 4x = 8(-1 + x) + -12 4 + 4x = (-1 * 8 + x * 8) + -12 4 + 4x = (-8 + 8x) + -12 Reorder the terms: 4 + 4x = -8 + -12 + 8x Combine like terms: -8 + -12 = -20 4 + 4x = -20 + 8x Solving 4 + 4x = -20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 4x + -8x = -20 + 8x + -8x Combine like terms: 4x + -8x = -4x 4 + -4x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -4x = -20 + 0 4 + -4x = -20 Add '-4' to each side of the equation. 4 + -4 + -4x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -20 + -4 -4x = -20 + -4 Combine like terms: -20 + -4 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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