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Simplifying 3x + 2(4 + -9x) + -3(x + -3) + x = 0 3x + (4 * 2 + -9x * 2) + -3(x + -3) + x = 0 3x + (8 + -18x) + -3(x + -3) + x = 0 Reorder the terms: 3x + 8 + -18x + -3(-3 + x) + x = 0 3x + 8 + -18x + (-3 * -3 + x * -3) + x = 0 3x + 8 + -18x + (9 + -3x) + x = 0 Reorder the terms: 8 + 9 + 3x + -18x + -3x + x = 0 Combine like terms: 8 + 9 = 17 17 + 3x + -18x + -3x + x = 0 Combine like terms: 3x + -18x = -15x 17 + -15x + -3x + x = 0 Combine like terms: -15x + -3x = -18x 17 + -18x + x = 0 Combine like terms: -18x + x = -17x 17 + -17x = 0 Solving 17 + -17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -17x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -17x = 0 + -17 -17x = 0 + -17 Combine like terms: 0 + -17 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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