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Simplifying 3(x + -2) + -4(2x + 5) = 9 Reorder the terms: 3(-2 + x) + -4(2x + 5) = 9 (-2 * 3 + x * 3) + -4(2x + 5) = 9 (-6 + 3x) + -4(2x + 5) = 9 Reorder the terms: -6 + 3x + -4(5 + 2x) = 9 -6 + 3x + (5 * -4 + 2x * -4) = 9 -6 + 3x + (-20 + -8x) = 9 Reorder the terms: -6 + -20 + 3x + -8x = 9 Combine like terms: -6 + -20 = -26 -26 + 3x + -8x = 9 Combine like terms: 3x + -8x = -5x -26 + -5x = 9 Solving -26 + -5x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -5x = 9 + 26 Combine like terms: -26 + 26 = 0 0 + -5x = 9 + 26 -5x = 9 + 26 Combine like terms: 9 + 26 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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