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Simplifying 3(x + -1) + 2x = 3x + (-1x) + (-9) Reorder the terms: 3(-1 + x) + 2x = 3x + (-1x) + (-9) (-1 * 3 + x * 3) + 2x = 3x + (-1x) + (-9) (-3 + 3x) + 2x = 3x + (-1x) + (-9) Combine like terms: 3x + 2x = 5x -3 + 5x = 3x + (-1x) + (-9) -3 + 5x = 3x + (-1x) + -9 Reorder the terms: -3 + 5x = -9 + 3x + (-1x) Combine like terms: 3x + (-1x) = 2x -3 + 5x = -9 + 2x Solving -3 + 5x = -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. -3 + 5x + -2x = -9 + 2x + -2x Combine like terms: 5x + -2x = 3x -3 + 3x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 3x = -9 + 0 -3 + 3x = -9 Add '3' to each side of the equation. -3 + 3 + 3x = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = -9 + 3 3x = -9 + 3 Combine like terms: -9 + 3 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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