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Simplifying 3(x + -2) + -1(2x + 5) = 2x + -9 Reorder the terms: 3(-2 + x) + -1(2x + 5) = 2x + -9 (-2 * 3 + x * 3) + -1(2x + 5) = 2x + -9 (-6 + 3x) + -1(2x + 5) = 2x + -9 Reorder the terms: -6 + 3x + -1(5 + 2x) = 2x + -9 -6 + 3x + (5 * -1 + 2x * -1) = 2x + -9 -6 + 3x + (-5 + -2x) = 2x + -9 Reorder the terms: -6 + -5 + 3x + -2x = 2x + -9 Combine like terms: -6 + -5 = -11 -11 + 3x + -2x = 2x + -9 Combine like terms: 3x + -2x = 1x -11 + 1x = 2x + -9 Reorder the terms: -11 + 1x = -9 + 2x Solving -11 + 1x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -11 + 1x + -2x = -9 + 2x + -2x Combine like terms: 1x + -2x = -1x -11 + -1x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -1x = -9 + 0 -11 + -1x = -9 Add '11' to each side of the equation. -11 + 11 + -1x = -9 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = -9 + 11 -1x = -9 + 11 Combine like terms: -9 + 11 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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