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Simplifying 3(2x + -3) + -2(1 + -1x) + -1(x + 1) = 0 Reorder the terms: 3(-3 + 2x) + -2(1 + -1x) + -1(x + 1) = 0 (-3 * 3 + 2x * 3) + -2(1 + -1x) + -1(x + 1) = 0 (-9 + 6x) + -2(1 + -1x) + -1(x + 1) = 0 -9 + 6x + (1 * -2 + -1x * -2) + -1(x + 1) = 0 -9 + 6x + (-2 + 2x) + -1(x + 1) = 0 Reorder the terms: -9 + 6x + -2 + 2x + -1(1 + x) = 0 -9 + 6x + -2 + 2x + (1 * -1 + x * -1) = 0 -9 + 6x + -2 + 2x + (-1 + -1x) = 0 Reorder the terms: -9 + -2 + -1 + 6x + 2x + -1x = 0 Combine like terms: -9 + -2 = -11 -11 + -1 + 6x + 2x + -1x = 0 Combine like terms: -11 + -1 = -12 -12 + 6x + 2x + -1x = 0 Combine like terms: 6x + 2x = 8x -12 + 8x + -1x = 0 Combine like terms: 8x + -1x = 7x -12 + 7x = 0 Solving -12 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 7x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 0 + 12 7x = 0 + 12 Combine like terms: 0 + 12 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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