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Simplifying 57 + -1(2x + 14) = 2(x + 4) + x Reorder the terms: 57 + -1(14 + 2x) = 2(x + 4) + x 57 + (14 * -1 + 2x * -1) = 2(x + 4) + x 57 + (-14 + -2x) = 2(x + 4) + x Combine like terms: 57 + -14 = 43 43 + -2x = 2(x + 4) + x Reorder the terms: 43 + -2x = 2(4 + x) + x 43 + -2x = (4 * 2 + x * 2) + x 43 + -2x = (8 + 2x) + x Combine like terms: 2x + x = 3x 43 + -2x = 8 + 3x Solving 43 + -2x = 8 + 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. 43 + -2x + -3x = 8 + 3x + -3x Combine like terms: -2x + -3x = -5x 43 + -5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 43 + -5x = 8 + 0 43 + -5x = 8 Add '-43' to each side of the equation. 43 + -43 + -5x = 8 + -43 Combine like terms: 43 + -43 = 0 0 + -5x = 8 + -43 -5x = 8 + -43 Combine like terms: 8 + -43 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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