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Simplifying 2(2x + 5) = -5(2x + -3) + 2x Reorder the terms: 2(5 + 2x) = -5(2x + -3) + 2x (5 * 2 + 2x * 2) = -5(2x + -3) + 2x (10 + 4x) = -5(2x + -3) + 2x Reorder the terms: 10 + 4x = -5(-3 + 2x) + 2x 10 + 4x = (-3 * -5 + 2x * -5) + 2x 10 + 4x = (15 + -10x) + 2x Combine like terms: -10x + 2x = -8x 10 + 4x = 15 + -8x Solving 10 + 4x = 15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 4x + 8x = 15 + -8x + 8x Combine like terms: 4x + 8x = 12x 10 + 12x = 15 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 12x = 15 + 0 10 + 12x = 15 Add '-10' to each side of the equation. 10 + -10 + 12x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 12x = 15 + -10 12x = 15 + -10 Combine like terms: 15 + -10 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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