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Simplifying 4(x + 2) = 8(x + -1) + -8 Reorder the terms: 4(2 + x) = 8(x + -1) + -8 (2 * 4 + x * 4) = 8(x + -1) + -8 (8 + 4x) = 8(x + -1) + -8 Reorder the terms: 8 + 4x = 8(-1 + x) + -8 8 + 4x = (-1 * 8 + x * 8) + -8 8 + 4x = (-8 + 8x) + -8 Reorder the terms: 8 + 4x = -8 + -8 + 8x Combine like terms: -8 + -8 = -16 8 + 4x = -16 + 8x Solving 8 + 4x = -16 + 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. 8 + 4x + -8x = -16 + 8x + -8x Combine like terms: 4x + -8x = -4x 8 + -4x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -4x = -16 + 0 8 + -4x = -16 Add '-8' to each side of the equation. 8 + -8 + -4x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = -16 + -8 -4x = -16 + -8 Combine like terms: -16 + -8 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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