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