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Simplifying -3(4x + 6) = 5x + 2 Reorder the terms: -3(6 + 4x) = 5x + 2 (6 * -3 + 4x * -3) = 5x + 2 (-18 + -12x) = 5x + 2 Reorder the terms: -18 + -12x = 2 + 5x Solving -18 + -12x = 2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + -12x + -5x = 2 + 5x + -5x Combine like terms: -12x + -5x = -17x -18 + -17x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + -17x = 2 + 0 -18 + -17x = 2 Add '18' to each side of the equation. -18 + 18 + -17x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -17x = 2 + 18 -17x = 2 + 18 Combine like terms: 2 + 18 = 20 -17x = 20 Divide each side by '-17'. x = -1.176470588 Simplifying x = -1.176470588
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