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Simplifying 3(5x + 1) = -5(2x + -2) Reorder the terms: 3(1 + 5x) = -5(2x + -2) (1 * 3 + 5x * 3) = -5(2x + -2) (3 + 15x) = -5(2x + -2) Reorder the terms: 3 + 15x = -5(-2 + 2x) 3 + 15x = (-2 * -5 + 2x * -5) 3 + 15x = (10 + -10x) Solving 3 + 15x = 10 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + 15x + 10x = 10 + -10x + 10x Combine like terms: 15x + 10x = 25x 3 + 25x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 25x = 10 + 0 3 + 25x = 10 Add '-3' to each side of the equation. 3 + -3 + 25x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 25x = 10 + -3 25x = 10 + -3 Combine like terms: 10 + -3 = 7 25x = 7 Divide each side by '25'. x = 0.28 Simplifying x = 0.28
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