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Simplifying 3(2x + 2) = -5(5x + -3) Reorder the terms: 3(2 + 2x) = -5(5x + -3) (2 * 3 + 2x * 3) = -5(5x + -3) (6 + 6x) = -5(5x + -3) Reorder the terms: 6 + 6x = -5(-3 + 5x) 6 + 6x = (-3 * -5 + 5x * -5) 6 + 6x = (15 + -25x) Solving 6 + 6x = 15 + -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. 6 + 6x + 25x = 15 + -25x + 25x Combine like terms: 6x + 25x = 31x 6 + 31x = 15 + -25x + 25x Combine like terms: -25x + 25x = 0 6 + 31x = 15 + 0 6 + 31x = 15 Add '-6' to each side of the equation. 6 + -6 + 31x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 31x = 15 + -6 31x = 15 + -6 Combine like terms: 15 + -6 = 9 31x = 9 Divide each side by '31'. x = 0.2903225806 Simplifying x = 0.2903225806
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