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Simplifying 3(2x + -6) = 5x + -14 Reorder the terms: 3(-6 + 2x) = 5x + -14 (-6 * 3 + 2x * 3) = 5x + -14 (-18 + 6x) = 5x + -14 Reorder the terms: -18 + 6x = -14 + 5x Solving -18 + 6x = -14 + 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 + 6x + -5x = -14 + 5x + -5x Combine like terms: 6x + -5x = 1x -18 + 1x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 1x = -14 + 0 -18 + 1x = -14 Add '18' to each side of the equation. -18 + 18 + 1x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -14 + 18 1x = -14 + 18 Combine like terms: -14 + 18 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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