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Simplifying 8 + 4(2 + -1x) = -2(x + 4) 8 + (2 * 4 + -1x * 4) = -2(x + 4) 8 + (8 + -4x) = -2(x + 4) Combine like terms: 8 + 8 = 16 16 + -4x = -2(x + 4) Reorder the terms: 16 + -4x = -2(4 + x) 16 + -4x = (4 * -2 + x * -2) 16 + -4x = (-8 + -2x) Solving 16 + -4x = -8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 16 + -4x + 2x = -8 + -2x + 2x Combine like terms: -4x + 2x = -2x 16 + -2x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + -2x = -8 + 0 16 + -2x = -8 Add '-16' to each side of the equation. 16 + -16 + -2x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = -8 + -16 -2x = -8 + -16 Combine like terms: -8 + -16 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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