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Simplifying 8 + 2(x + -4) = 2(5x + 7) + 2 Reorder the terms: 8 + 2(-4 + x) = 2(5x + 7) + 2 8 + (-4 * 2 + x * 2) = 2(5x + 7) + 2 8 + (-8 + 2x) = 2(5x + 7) + 2 Combine like terms: 8 + -8 = 0 0 + 2x = 2(5x + 7) + 2 2x = 2(5x + 7) + 2 Reorder the terms: 2x = 2(7 + 5x) + 2 2x = (7 * 2 + 5x * 2) + 2 2x = (14 + 10x) + 2 Reorder the terms: 2x = 14 + 2 + 10x Combine like terms: 14 + 2 = 16 2x = 16 + 10x Solving 2x = 16 + 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. 2x + -10x = 16 + 10x + -10x Combine like terms: 2x + -10x = -8x -8x = 16 + 10x + -10x Combine like terms: 10x + -10x = 0 -8x = 16 + 0 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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