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Simplifying 3(5x + -6) + 2(8x + -4) = 0 Reorder the terms: 3(-6 + 5x) + 2(8x + -4) = 0 (-6 * 3 + 5x * 3) + 2(8x + -4) = 0 (-18 + 15x) + 2(8x + -4) = 0 Reorder the terms: -18 + 15x + 2(-4 + 8x) = 0 -18 + 15x + (-4 * 2 + 8x * 2) = 0 -18 + 15x + (-8 + 16x) = 0 Reorder the terms: -18 + -8 + 15x + 16x = 0 Combine like terms: -18 + -8 = -26 -26 + 15x + 16x = 0 Combine like terms: 15x + 16x = 31x -26 + 31x = 0 Solving -26 + 31x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 31x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 31x = 0 + 26 31x = 0 + 26 Combine like terms: 0 + 26 = 26 31x = 26 Divide each side by '31'. x = 0.8387096774 Simplifying x = 0.8387096774
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