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Simplifying 52 + -1(2x + 6) = 2(x + 8) + x Reorder the terms: 52 + -1(6 + 2x) = 2(x + 8) + x 52 + (6 * -1 + 2x * -1) = 2(x + 8) + x 52 + (-6 + -2x) = 2(x + 8) + x Combine like terms: 52 + -6 = 46 46 + -2x = 2(x + 8) + x Reorder the terms: 46 + -2x = 2(8 + x) + x 46 + -2x = (8 * 2 + x * 2) + x 46 + -2x = (16 + 2x) + x Combine like terms: 2x + x = 3x 46 + -2x = 16 + 3x Solving 46 + -2x = 16 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 46 + -2x + -3x = 16 + 3x + -3x Combine like terms: -2x + -3x = -5x 46 + -5x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + -5x = 16 + 0 46 + -5x = 16 Add '-46' to each side of the equation. 46 + -46 + -5x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -5x = 16 + -46 -5x = 16 + -46 Combine like terms: 16 + -46 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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