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Simplifying 2(10 + -1x) = 5(x + 5) (10 * 2 + -1x * 2) = 5(x + 5) (20 + -2x) = 5(x + 5) Reorder the terms: 20 + -2x = 5(5 + x) 20 + -2x = (5 * 5 + x * 5) 20 + -2x = (25 + 5x) Solving 20 + -2x = 25 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + -2x + -5x = 25 + 5x + -5x Combine like terms: -2x + -5x = -7x 20 + -7x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -7x = 25 + 0 20 + -7x = 25 Add '-20' to each side of the equation. 20 + -20 + -7x = 25 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = 25 + -20 -7x = 25 + -20 Combine like terms: 25 + -20 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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