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Simplifying 3(2x + -6) = 6(3x + 2) Reorder the terms: 3(-6 + 2x) = 6(3x + 2) (-6 * 3 + 2x * 3) = 6(3x + 2) (-18 + 6x) = 6(3x + 2) Reorder the terms: -18 + 6x = 6(2 + 3x) -18 + 6x = (2 * 6 + 3x * 6) -18 + 6x = (12 + 18x) Solving -18 + 6x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -18 + 6x + -18x = 12 + 18x + -18x Combine like terms: 6x + -18x = -12x -18 + -12x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 -18 + -12x = 12 + 0 -18 + -12x = 12 Add '18' to each side of the equation. -18 + 18 + -12x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -12x = 12 + 18 -12x = 12 + 18 Combine like terms: 12 + 18 = 30 -12x = 30 Divide each side by '-12'. x = -2.5 Simplifying x = -2.5
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