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Simplifying 38 + -1(2x + 3) = 2(x + 5) + x Reorder the terms: 38 + -1(3 + 2x) = 2(x + 5) + x 38 + (3 * -1 + 2x * -1) = 2(x + 5) + x 38 + (-3 + -2x) = 2(x + 5) + x Combine like terms: 38 + -3 = 35 35 + -2x = 2(x + 5) + x Reorder the terms: 35 + -2x = 2(5 + x) + x 35 + -2x = (5 * 2 + x * 2) + x 35 + -2x = (10 + 2x) + x Combine like terms: 2x + x = 3x 35 + -2x = 10 + 3x Solving 35 + -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. 35 + -2x + -3x = 10 + 3x + -3x Combine like terms: -2x + -3x = -5x 35 + -5x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + -5x = 10 + 0 35 + -5x = 10 Add '-35' to each side of the equation. 35 + -35 + -5x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = 10 + -35 -5x = 10 + -35 Combine like terms: 10 + -35 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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