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Simplifying 3(2x + -3) + -2(1 + -1x) + -1(x + 3) = 0 Reorder the terms: 3(-3 + 2x) + -2(1 + -1x) + -1(x + 3) = 0 (-3 * 3 + 2x * 3) + -2(1 + -1x) + -1(x + 3) = 0 (-9 + 6x) + -2(1 + -1x) + -1(x + 3) = 0 -9 + 6x + (1 * -2 + -1x * -2) + -1(x + 3) = 0 -9 + 6x + (-2 + 2x) + -1(x + 3) = 0 Reorder the terms: -9 + 6x + -2 + 2x + -1(3 + x) = 0 -9 + 6x + -2 + 2x + (3 * -1 + x * -1) = 0 -9 + 6x + -2 + 2x + (-3 + -1x) = 0 Reorder the terms: -9 + -2 + -3 + 6x + 2x + -1x = 0 Combine like terms: -9 + -2 = -11 -11 + -3 + 6x + 2x + -1x = 0 Combine like terms: -11 + -3 = -14 -14 + 6x + 2x + -1x = 0 Combine like terms: 6x + 2x = 8x -14 + 8x + -1x = 0 Combine like terms: 8x + -1x = 7x -14 + 7x = 0 Solving -14 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 0 + 14 7x = 0 + 14 Combine like terms: 0 + 14 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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