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Simplifying 2(2 + -1x) = 8(2x + 5) (2 * 2 + -1x * 2) = 8(2x + 5) (4 + -2x) = 8(2x + 5) Reorder the terms: 4 + -2x = 8(5 + 2x) 4 + -2x = (5 * 8 + 2x * 8) 4 + -2x = (40 + 16x) Solving 4 + -2x = 40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 4 + -2x + -16x = 40 + 16x + -16x Combine like terms: -2x + -16x = -18x 4 + -18x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 4 + -18x = 40 + 0 4 + -18x = 40 Add '-4' to each side of the equation. 4 + -4 + -18x = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -18x = 40 + -4 -18x = 40 + -4 Combine like terms: 40 + -4 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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