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Simplifying 38 + -1(2x + 12) = 2(x + 8) + x Reorder the terms: 38 + -1(12 + 2x) = 2(x + 8) + x 38 + (12 * -1 + 2x * -1) = 2(x + 8) + x 38 + (-12 + -2x) = 2(x + 8) + x Combine like terms: 38 + -12 = 26 26 + -2x = 2(x + 8) + x Reorder the terms: 26 + -2x = 2(8 + x) + x 26 + -2x = (8 * 2 + x * 2) + x 26 + -2x = (16 + 2x) + x Combine like terms: 2x + x = 3x 26 + -2x = 16 + 3x Solving 26 + -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. 26 + -2x + -3x = 16 + 3x + -3x Combine like terms: -2x + -3x = -5x 26 + -5x = 16 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + -5x = 16 + 0 26 + -5x = 16 Add '-26' to each side of the equation. 26 + -26 + -5x = 16 + -26 Combine like terms: 26 + -26 = 0 0 + -5x = 16 + -26 -5x = 16 + -26 Combine like terms: 16 + -26 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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