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