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Simplifying 5(-2x + 7) = 5(6x + 2) Reorder the terms: 5(7 + -2x) = 5(6x + 2) (7 * 5 + -2x * 5) = 5(6x + 2) (35 + -10x) = 5(6x + 2) Reorder the terms: 35 + -10x = 5(2 + 6x) 35 + -10x = (2 * 5 + 6x * 5) 35 + -10x = (10 + 30x) Solving 35 + -10x = 10 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 35 + -10x + -30x = 10 + 30x + -30x Combine like terms: -10x + -30x = -40x 35 + -40x = 10 + 30x + -30x Combine like terms: 30x + -30x = 0 35 + -40x = 10 + 0 35 + -40x = 10 Add '-35' to each side of the equation. 35 + -35 + -40x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + -40x = 10 + -35 -40x = 10 + -35 Combine like terms: 10 + -35 = -25 -40x = -25 Divide each side by '-40'. x = 0.625 Simplifying x = 0.625
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