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Simplifying 57 + -1(2x + 6) = 2(x + 8) + x Reorder the terms: 57 + -1(6 + 2x) = 2(x + 8) + x 57 + (6 * -1 + 2x * -1) = 2(x + 8) + x 57 + (-6 + -2x) = 2(x + 8) + x Combine like terms: 57 + -6 = 51 51 + -2x = 2(x + 8) + x Reorder the terms: 51 + -2x = 2(8 + x) + x 51 + -2x = (8 * 2 + x * 2) + x 51 + -2x = (16 + 2x) + x Combine like terms: 2x + x = 3x 51 + -2x = 16 + 3x Solving 51 + -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. 51 + -2x + -3x = 16 + 3x + -3x Combine like terms: -2x + -3x = -5x 51 + -5x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 51 + -5x = 16 + 0 51 + -5x = 16 Add '-51' to each side of the equation. 51 + -51 + -5x = 16 + -51 Combine like terms: 51 + -51 = 0 0 + -5x = 16 + -51 -5x = 16 + -51 Combine like terms: 16 + -51 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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