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Simplifying 3(5x + -6) + -2(4x + -5) = 0 Reorder the terms: 3(-6 + 5x) + -2(4x + -5) = 0 (-6 * 3 + 5x * 3) + -2(4x + -5) = 0 (-18 + 15x) + -2(4x + -5) = 0 Reorder the terms: -18 + 15x + -2(-5 + 4x) = 0 -18 + 15x + (-5 * -2 + 4x * -2) = 0 -18 + 15x + (10 + -8x) = 0 Reorder the terms: -18 + 10 + 15x + -8x = 0 Combine like terms: -18 + 10 = -8 -8 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x -8 + 7x = 0 Solving -8 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 0 + 8 7x = 0 + 8 Combine like terms: 0 + 8 = 8 7x = 8 Divide each side by '7'. x = 1.142857143 Simplifying x = 1.142857143
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