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Simplifying 2(3x + -6) = 3(x + 6) Reorder the terms: 2(-6 + 3x) = 3(x + 6) (-6 * 2 + 3x * 2) = 3(x + 6) (-12 + 6x) = 3(x + 6) Reorder the terms: -12 + 6x = 3(6 + x) -12 + 6x = (6 * 3 + x * 3) -12 + 6x = (18 + 3x) Solving -12 + 6x = 18 + 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. -12 + 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x -12 + 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 3x = 18 + 0 -12 + 3x = 18 Add '12' to each side of the equation. -12 + 12 + 3x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 18 + 12 3x = 18 + 12 Combine like terms: 18 + 12 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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