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Simplifying 10(x + 1) = 2(4 + -1x) Reorder the terms: 10(1 + x) = 2(4 + -1x) (1 * 10 + x * 10) = 2(4 + -1x) (10 + 10x) = 2(4 + -1x) 10 + 10x = (4 * 2 + -1x * 2) 10 + 10x = (8 + -2x) Solving 10 + 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. 10 + 10x + 2x = 8 + -2x + 2x Combine like terms: 10x + 2x = 12x 10 + 12x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 12x = 8 + 0 10 + 12x = 8 Add '-10' to each side of the equation. 10 + -10 + 12x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 8 + -10 12x = 8 + -10 Combine like terms: 8 + -10 = -2 12x = -2 Divide each side by '12'. x = -0.1666666667 Simplifying x = -0.1666666667
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