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Simplifying 37 + -1(2x + 14) = 2(x + 4) + x Reorder the terms: 37 + -1(14 + 2x) = 2(x + 4) + x 37 + (14 * -1 + 2x * -1) = 2(x + 4) + x 37 + (-14 + -2x) = 2(x + 4) + x Combine like terms: 37 + -14 = 23 23 + -2x = 2(x + 4) + x Reorder the terms: 23 + -2x = 2(4 + x) + x 23 + -2x = (4 * 2 + x * 2) + x 23 + -2x = (8 + 2x) + x Combine like terms: 2x + x = 3x 23 + -2x = 8 + 3x Solving 23 + -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. 23 + -2x + -3x = 8 + 3x + -3x Combine like terms: -2x + -3x = -5x 23 + -5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 23 + -5x = 8 + 0 23 + -5x = 8 Add '-23' to each side of the equation. 23 + -23 + -5x = 8 + -23 Combine like terms: 23 + -23 = 0 0 + -5x = 8 + -23 -5x = 8 + -23 Combine like terms: 8 + -23 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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