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Simplifying 3(5x + -6) + -4(2x) = 0 Reorder the terms: 3(-6 + 5x) + -4(2x) = 0 (-6 * 3 + 5x * 3) + -4(2x) = 0 (-18 + 15x) + -4(2x) = 0 Remove parenthesis around (2x) -18 + 15x + -4 * 2x = 0 Multiply -4 * 2 -18 + 15x + -8x = 0 Combine like terms: 15x + -8x = 7x -18 + 7x = 0 Solving -18 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 7x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7x = 0 + 18 7x = 0 + 18 Combine like terms: 0 + 18 = 18 7x = 18 Divide each side by '7'. x = 2.571428571 Simplifying x = 2.571428571
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