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Simplifying -2(3x + -4) + 3(5x + -1) = 0 Reorder the terms: -2(-4 + 3x) + 3(5x + -1) = 0 (-4 * -2 + 3x * -2) + 3(5x + -1) = 0 (8 + -6x) + 3(5x + -1) = 0 Reorder the terms: 8 + -6x + 3(-1 + 5x) = 0 8 + -6x + (-1 * 3 + 5x * 3) = 0 8 + -6x + (-3 + 15x) = 0 Reorder the terms: 8 + -3 + -6x + 15x = 0 Combine like terms: 8 + -3 = 5 5 + -6x + 15x = 0 Combine like terms: -6x + 15x = 9x 5 + 9x = 0 Solving 5 + 9x = 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 + 9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 0 + -5 9x = 0 + -5 Combine like terms: 0 + -5 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556
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