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Simplifying -3(x + 5) + 2(x + 8) = 35 Reorder the terms: -3(5 + x) + 2(x + 8) = 35 (5 * -3 + x * -3) + 2(x + 8) = 35 (-15 + -3x) + 2(x + 8) = 35 Reorder the terms: -15 + -3x + 2(8 + x) = 35 -15 + -3x + (8 * 2 + x * 2) = 35 -15 + -3x + (16 + 2x) = 35 Reorder the terms: -15 + 16 + -3x + 2x = 35 Combine like terms: -15 + 16 = 1 1 + -3x + 2x = 35 Combine like terms: -3x + 2x = -1x 1 + -1x = 35 Solving 1 + -1x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 35 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 35 + -1 -1x = 35 + -1 Combine like terms: 35 + -1 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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