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Simplifying 3(2 + -3x) + -2(5x + -1) + -3 + -2x = 0 (2 * 3 + -3x * 3) + -2(5x + -1) + -3 + -2x = 0 (6 + -9x) + -2(5x + -1) + -3 + -2x = 0 Reorder the terms: 6 + -9x + -2(-1 + 5x) + -3 + -2x = 0 6 + -9x + (-1 * -2 + 5x * -2) + -3 + -2x = 0 6 + -9x + (2 + -10x) + -3 + -2x = 0 Reorder the terms: 6 + 2 + -3 + -9x + -10x + -2x = 0 Combine like terms: 6 + 2 = 8 8 + -3 + -9x + -10x + -2x = 0 Combine like terms: 8 + -3 = 5 5 + -9x + -10x + -2x = 0 Combine like terms: -9x + -10x = -19x 5 + -19x + -2x = 0 Combine like terms: -19x + -2x = -21x 5 + -21x = 0 Solving 5 + -21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -21x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -21x = 0 + -5 -21x = 0 + -5 Combine like terms: 0 + -5 = -5 -21x = -5 Divide each side by '-21'. x = 0.2380952381 Simplifying x = 0.2380952381
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