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Simplifying 2(x + -3) + -3(4 + -2x) + x = 0 Reorder the terms: 2(-3 + x) + -3(4 + -2x) + x = 0 (-3 * 2 + x * 2) + -3(4 + -2x) + x = 0 (-6 + 2x) + -3(4 + -2x) + x = 0 -6 + 2x + (4 * -3 + -2x * -3) + x = 0 -6 + 2x + (-12 + 6x) + x = 0 Reorder the terms: -6 + -12 + 2x + 6x + x = 0 Combine like terms: -6 + -12 = -18 -18 + 2x + 6x + x = 0 Combine like terms: 2x + 6x = 8x -18 + 8x + x = 0 Combine like terms: 8x + x = 9x -18 + 9x = 0 Solving -18 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 0 + 18 9x = 0 + 18 Combine like terms: 0 + 18 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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