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Simplifying 5(x + 2) + -3(x + -1) = 33 Reorder the terms: 5(2 + x) + -3(x + -1) = 33 (2 * 5 + x * 5) + -3(x + -1) = 33 (10 + 5x) + -3(x + -1) = 33 Reorder the terms: 10 + 5x + -3(-1 + x) = 33 10 + 5x + (-1 * -3 + x * -3) = 33 10 + 5x + (3 + -3x) = 33 Reorder the terms: 10 + 3 + 5x + -3x = 33 Combine like terms: 10 + 3 = 13 13 + 5x + -3x = 33 Combine like terms: 5x + -3x = 2x 13 + 2x = 33 Solving 13 + 2x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2x = 33 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 33 + -13 2x = 33 + -13 Combine like terms: 33 + -13 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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