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Simplifying 4(2x + -6) = 2(5x + 5) Reorder the terms: 4(-6 + 2x) = 2(5x + 5) (-6 * 4 + 2x * 4) = 2(5x + 5) (-24 + 8x) = 2(5x + 5) Reorder the terms: -24 + 8x = 2(5 + 5x) -24 + 8x = (5 * 2 + 5x * 2) -24 + 8x = (10 + 10x) Solving -24 + 8x = 10 + 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. -24 + 8x + -10x = 10 + 10x + -10x Combine like terms: 8x + -10x = -2x -24 + -2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + -2x = 10 + 0 -24 + -2x = 10 Add '24' to each side of the equation. -24 + 24 + -2x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 10 + 24 -2x = 10 + 24 Combine like terms: 10 + 24 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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