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Simplifying 5(2x + 2) = -5(3x + -3) + -2x Reorder the terms: 5(2 + 2x) = -5(3x + -3) + -2x (2 * 5 + 2x * 5) = -5(3x + -3) + -2x (10 + 10x) = -5(3x + -3) + -2x Reorder the terms: 10 + 10x = -5(-3 + 3x) + -2x 10 + 10x = (-3 * -5 + 3x * -5) + -2x 10 + 10x = (15 + -15x) + -2x Combine like terms: -15x + -2x = -17x 10 + 10x = 15 + -17x Solving 10 + 10x = 15 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 10 + 10x + 17x = 15 + -17x + 17x Combine like terms: 10x + 17x = 27x 10 + 27x = 15 + -17x + 17x Combine like terms: -17x + 17x = 0 10 + 27x = 15 + 0 10 + 27x = 15 Add '-10' to each side of the equation. 10 + -10 + 27x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 27x = 15 + -10 27x = 15 + -10 Combine like terms: 15 + -10 = 5 27x = 5 Divide each side by '27'. x = 0.1851851852 Simplifying x = 0.1851851852
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