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Simplifying -3(-3x + 1) + -1(2x + -4) + -4x + 2 = 0 Reorder the terms: -3(1 + -3x) + -1(2x + -4) + -4x + 2 = 0 (1 * -3 + -3x * -3) + -1(2x + -4) + -4x + 2 = 0 (-3 + 9x) + -1(2x + -4) + -4x + 2 = 0 Reorder the terms: -3 + 9x + -1(-4 + 2x) + -4x + 2 = 0 -3 + 9x + (-4 * -1 + 2x * -1) + -4x + 2 = 0 -3 + 9x + (4 + -2x) + -4x + 2 = 0 Reorder the terms: -3 + 4 + 2 + 9x + -2x + -4x = 0 Combine like terms: -3 + 4 = 1 1 + 2 + 9x + -2x + -4x = 0 Combine like terms: 1 + 2 = 3 3 + 9x + -2x + -4x = 0 Combine like terms: 9x + -2x = 7x 3 + 7x + -4x = 0 Combine like terms: 7x + -4x = 3x 3 + 3x = 0 Solving 3 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 0 + -3 3x = 0 + -3 Combine like terms: 0 + -3 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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