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Simplifying 3(5x + 3) = -5(5x + -2) Reorder the terms: 3(3 + 5x) = -5(5x + -2) (3 * 3 + 5x * 3) = -5(5x + -2) (9 + 15x) = -5(5x + -2) Reorder the terms: 9 + 15x = -5(-2 + 5x) 9 + 15x = (-2 * -5 + 5x * -5) 9 + 15x = (10 + -25x) Solving 9 + 15x = 10 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 9 + 15x + 25x = 10 + -25x + 25x Combine like terms: 15x + 25x = 40x 9 + 40x = 10 + -25x + 25x Combine like terms: -25x + 25x = 0 9 + 40x = 10 + 0 9 + 40x = 10 Add '-9' to each side of the equation. 9 + -9 + 40x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 40x = 10 + -9 40x = 10 + -9 Combine like terms: 10 + -9 = 1 40x = 1 Divide each side by '40'. x = 0.025 Simplifying x = 0.025
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