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Simplifying -2(x + 10) = 4(5 + -2x) + 8 Reorder the terms: -2(10 + x) = 4(5 + -2x) + 8 (10 * -2 + x * -2) = 4(5 + -2x) + 8 (-20 + -2x) = 4(5 + -2x) + 8 -20 + -2x = (5 * 4 + -2x * 4) + 8 -20 + -2x = (20 + -8x) + 8 Reorder the terms: -20 + -2x = 20 + 8 + -8x Combine like terms: 20 + 8 = 28 -20 + -2x = 28 + -8x Solving -20 + -2x = 28 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -20 + -2x + 8x = 28 + -8x + 8x Combine like terms: -2x + 8x = 6x -20 + 6x = 28 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 6x = 28 + 0 -20 + 6x = 28 Add '20' to each side of the equation. -20 + 20 + 6x = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = 28 + 20 6x = 28 + 20 Combine like terms: 28 + 20 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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