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Simplifying 3(4x + -6) = 10x Reorder the terms: 3(-6 + 4x) = 10x (-6 * 3 + 4x * 3) = 10x (-18 + 12x) = 10x Solving -18 + 12x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -18 + 12x + -10x = 10x + -10x Combine like terms: 12x + -10x = 2x -18 + 2x = 10x + -10x Combine like terms: 10x + -10x = 0 -18 + 2x = 0 Add '18' to each side of the equation. -18 + 18 + 2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = 0 + 18 2x = 0 + 18 Combine like terms: 0 + 18 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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