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Simplifying 4(2 + -2x) + 7 = 5(3 + 2x) (2 * 4 + -2x * 4) + 7 = 5(3 + 2x) (8 + -8x) + 7 = 5(3 + 2x) Reorder the terms: 8 + 7 + -8x = 5(3 + 2x) Combine like terms: 8 + 7 = 15 15 + -8x = 5(3 + 2x) 15 + -8x = (3 * 5 + 2x * 5) 15 + -8x = (15 + 10x) Add '-15' to each side of the equation. 15 + -15 + -8x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 0 + -8x = 15 + -15 + 10x -8x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 -8x = 0 + 10x -8x = 10x Solving -8x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8x + -10x = 10x + -10x Combine like terms: -8x + -10x = -18x -18x = 10x + -10x Combine like terms: 10x + -10x = 0 -18x = 0 Divide each side by '-18'. x = 0 Simplifying x = 0
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