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Simplifying 2(x + 4) + 8 = 2(-1x + 12) Reorder the terms: 2(4 + x) + 8 = 2(-1x + 12) (4 * 2 + x * 2) + 8 = 2(-1x + 12) (8 + 2x) + 8 = 2(-1x + 12) Reorder the terms: 8 + 8 + 2x = 2(-1x + 12) Combine like terms: 8 + 8 = 16 16 + 2x = 2(-1x + 12) Reorder the terms: 16 + 2x = 2(12 + -1x) 16 + 2x = (12 * 2 + -1x * 2) 16 + 2x = (24 + -2x) Solving 16 + 2x = 24 + -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 + 2x + 2x = 24 + -2x + 2x Combine like terms: 2x + 2x = 4x 16 + 4x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 16 + 4x = 24 + 0 16 + 4x = 24 Add '-16' to each side of the equation. 16 + -16 + 4x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 24 + -16 4x = 24 + -16 Combine like terms: 24 + -16 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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