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Simplifying 4(2x + 2) + -10 = 5(2x + 3) Reorder the terms: 4(2 + 2x) + -10 = 5(2x + 3) (2 * 4 + 2x * 4) + -10 = 5(2x + 3) (8 + 8x) + -10 = 5(2x + 3) Reorder the terms: 8 + -10 + 8x = 5(2x + 3) Combine like terms: 8 + -10 = -2 -2 + 8x = 5(2x + 3) Reorder the terms: -2 + 8x = 5(3 + 2x) -2 + 8x = (3 * 5 + 2x * 5) -2 + 8x = (15 + 10x) Solving -2 + 8x = 15 + 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. -2 + 8x + -10x = 15 + 10x + -10x Combine like terms: 8x + -10x = -2x -2 + -2x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -2x = 15 + 0 -2 + -2x = 15 Add '2' to each side of the equation. -2 + 2 + -2x = 15 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 15 + 2 -2x = 15 + 2 Combine like terms: 15 + 2 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5
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