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Simplifying 5(1 + -2x) = 2(4 + -1x) (1 * 5 + -2x * 5) = 2(4 + -1x) (5 + -10x) = 2(4 + -1x) 5 + -10x = (4 * 2 + -1x * 2) 5 + -10x = (8 + -2x) Solving 5 + -10x = 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. 5 + -10x + 2x = 8 + -2x + 2x Combine like terms: -10x + 2x = -8x 5 + -8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + -8x = 8 + 0 5 + -8x = 8 Add '-5' to each side of the equation. 5 + -5 + -8x = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 8 + -5 -8x = 8 + -5 Combine like terms: 8 + -5 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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