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