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Simplifying 3(x + -2) + -1(5x + -9) = 8 Reorder the terms: 3(-2 + x) + -1(5x + -9) = 8 (-2 * 3 + x * 3) + -1(5x + -9) = 8 (-6 + 3x) + -1(5x + -9) = 8 Reorder the terms: -6 + 3x + -1(-9 + 5x) = 8 -6 + 3x + (-9 * -1 + 5x * -1) = 8 -6 + 3x + (9 + -5x) = 8 Reorder the terms: -6 + 9 + 3x + -5x = 8 Combine like terms: -6 + 9 = 3 3 + 3x + -5x = 8 Combine like terms: 3x + -5x = -2x 3 + -2x = 8 Solving 3 + -2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 8 + -3 -2x = 8 + -3 Combine like terms: 8 + -3 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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