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Simplifying 33 + -1(5x + 7) = 2(x + 5) + x Reorder the terms: 33 + -1(7 + 5x) = 2(x + 5) + x 33 + (7 * -1 + 5x * -1) = 2(x + 5) + x 33 + (-7 + -5x) = 2(x + 5) + x Combine like terms: 33 + -7 = 26 26 + -5x = 2(x + 5) + x Reorder the terms: 26 + -5x = 2(5 + x) + x 26 + -5x = (5 * 2 + x * 2) + x 26 + -5x = (10 + 2x) + x Combine like terms: 2x + x = 3x 26 + -5x = 10 + 3x Solving 26 + -5x = 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. 26 + -5x + -3x = 10 + 3x + -3x Combine like terms: -5x + -3x = -8x 26 + -8x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + -8x = 10 + 0 26 + -8x = 10 Add '-26' to each side of the equation. 26 + -26 + -8x = 10 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = 10 + -26 -8x = 10 + -26 Combine like terms: 10 + -26 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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