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Simplifying 5(8 + 2x) = 2(1 + -1x) (8 * 5 + 2x * 5) = 2(1 + -1x) (40 + 10x) = 2(1 + -1x) 40 + 10x = (1 * 2 + -1x * 2) 40 + 10x = (2 + -2x) Solving 40 + 10x = 2 + -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. 40 + 10x + 2x = 2 + -2x + 2x Combine like terms: 10x + 2x = 12x 40 + 12x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 40 + 12x = 2 + 0 40 + 12x = 2 Add '-40' to each side of the equation. 40 + -40 + 12x = 2 + -40 Combine like terms: 40 + -40 = 0 0 + 12x = 2 + -40 12x = 2 + -40 Combine like terms: 2 + -40 = -38 12x = -38 Divide each side by '12'. x = -3.166666667 Simplifying x = -3.166666667
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