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Simplifying 2(5 + -1x) = 5(x + 7) (5 * 2 + -1x * 2) = 5(x + 7) (10 + -2x) = 5(x + 7) Reorder the terms: 10 + -2x = 5(7 + x) 10 + -2x = (7 * 5 + x * 5) 10 + -2x = (35 + 5x) Solving 10 + -2x = 35 + 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. 10 + -2x + -5x = 35 + 5x + -5x Combine like terms: -2x + -5x = -7x 10 + -7x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -7x = 35 + 0 10 + -7x = 35 Add '-10' to each side of the equation. 10 + -10 + -7x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + -7x = 35 + -10 -7x = 35 + -10 Combine like terms: 35 + -10 = 25 -7x = 25 Divide each side by '-7'. x = -3.571428571 Simplifying x = -3.571428571
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