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Simplifying -5(2x + -3) + 2x = 2(x + 5) Reorder the terms: -5(-3 + 2x) + 2x = 2(x + 5) (-3 * -5 + 2x * -5) + 2x = 2(x + 5) (15 + -10x) + 2x = 2(x + 5) Combine like terms: -10x + 2x = -8x 15 + -8x = 2(x + 5) Reorder the terms: 15 + -8x = 2(5 + x) 15 + -8x = (5 * 2 + x * 2) 15 + -8x = (10 + 2x) Solving 15 + -8x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -8x + -2x = 10 + 2x + -2x Combine like terms: -8x + -2x = -10x 15 + -10x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -10x = 10 + 0 15 + -10x = 10 Add '-15' to each side of the equation. 15 + -15 + -10x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = 10 + -15 -10x = 10 + -15 Combine like terms: 10 + -15 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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