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Simplifying 2(8 + -1x) + 2(x + -1) = 4(x + 2) + -8 (8 * 2 + -1x * 2) + 2(x + -1) = 4(x + 2) + -8 (16 + -2x) + 2(x + -1) = 4(x + 2) + -8 Reorder the terms: 16 + -2x + 2(-1 + x) = 4(x + 2) + -8 16 + -2x + (-1 * 2 + x * 2) = 4(x + 2) + -8 16 + -2x + (-2 + 2x) = 4(x + 2) + -8 Reorder the terms: 16 + -2 + -2x + 2x = 4(x + 2) + -8 Combine like terms: 16 + -2 = 14 14 + -2x + 2x = 4(x + 2) + -8 Combine like terms: -2x + 2x = 0 14 + 0 = 4(x + 2) + -8 14 = 4(x + 2) + -8 Reorder the terms: 14 = 4(2 + x) + -8 14 = (2 * 4 + x * 4) + -8 14 = (8 + 4x) + -8 Reorder the terms: 14 = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 14 = 0 + 4x 14 = 4x Solving 14 = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 14 + -4x = 0 Add '-14' to each side of the equation. 14 + -14 + -4x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 0 + -14 -4x = 0 + -14 Combine like terms: 0 + -14 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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