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Simplifying 37 + -1(2x + 7) = 2(x + 5) + x Reorder the terms: 37 + -1(7 + 2x) = 2(x + 5) + x 37 + (7 * -1 + 2x * -1) = 2(x + 5) + x 37 + (-7 + -2x) = 2(x + 5) + x Combine like terms: 37 + -7 = 30 30 + -2x = 2(x + 5) + x Reorder the terms: 30 + -2x = 2(5 + x) + x 30 + -2x = (5 * 2 + x * 2) + x 30 + -2x = (10 + 2x) + x Combine like terms: 2x + x = 3x 30 + -2x = 10 + 3x Solving 30 + -2x = 10 + 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. 30 + -2x + -3x = 10 + 3x + -3x Combine like terms: -2x + -3x = -5x 30 + -5x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -5x = 10 + 0 30 + -5x = 10 Add '-30' to each side of the equation. 30 + -30 + -5x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + -5x = 10 + -30 -5x = 10 + -30 Combine like terms: 10 + -30 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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