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Simplifying 3(4x + -6) = 5x + 2x + -8 Reorder the terms: 3(-6 + 4x) = 5x + 2x + -8 (-6 * 3 + 4x * 3) = 5x + 2x + -8 (-18 + 12x) = 5x + 2x + -8 Reorder the terms: -18 + 12x = -8 + 5x + 2x Combine like terms: 5x + 2x = 7x -18 + 12x = -8 + 7x Solving -18 + 12x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 12x + -7x = -8 + 7x + -7x Combine like terms: 12x + -7x = 5x -18 + 5x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 5x = -8 + 0 -18 + 5x = -8 Add '18' to each side of the equation. -18 + 18 + 5x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = -8 + 18 5x = -8 + 18 Combine like terms: -8 + 18 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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