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Simplifying 4(2x + 5) = 10 + -2(x + -5) Reorder the terms: 4(5 + 2x) = 10 + -2(x + -5) (5 * 4 + 2x * 4) = 10 + -2(x + -5) (20 + 8x) = 10 + -2(x + -5) Reorder the terms: 20 + 8x = 10 + -2(-5 + x) 20 + 8x = 10 + (-5 * -2 + x * -2) 20 + 8x = 10 + (10 + -2x) Combine like terms: 10 + 10 = 20 20 + 8x = 20 + -2x Add '-20' to each side of the equation. 20 + -20 + 8x = 20 + -20 + -2x Combine like terms: 20 + -20 = 0 0 + 8x = 20 + -20 + -2x 8x = 20 + -20 + -2x Combine like terms: 20 + -20 = 0 8x = 0 + -2x 8x = -2x Solving 8x = -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. 8x + 2x = -2x + 2x Combine like terms: 8x + 2x = 10x 10x = -2x + 2x Combine like terms: -2x + 2x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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