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Simplifying 3(5x + -4) + -1(6x + 2) = 0 Reorder the terms: 3(-4 + 5x) + -1(6x + 2) = 0 (-4 * 3 + 5x * 3) + -1(6x + 2) = 0 (-12 + 15x) + -1(6x + 2) = 0 Reorder the terms: -12 + 15x + -1(2 + 6x) = 0 -12 + 15x + (2 * -1 + 6x * -1) = 0 -12 + 15x + (-2 + -6x) = 0 Reorder the terms: -12 + -2 + 15x + -6x = 0 Combine like terms: -12 + -2 = -14 -14 + 15x + -6x = 0 Combine like terms: 15x + -6x = 9x -14 + 9x = 0 Solving -14 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 0 + 14 9x = 0 + 14 Combine like terms: 0 + 14 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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