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Simplifying 6(12 + -1x) = 3(3x + 4) (12 * 6 + -1x * 6) = 3(3x + 4) (72 + -6x) = 3(3x + 4) Reorder the terms: 72 + -6x = 3(4 + 3x) 72 + -6x = (4 * 3 + 3x * 3) 72 + -6x = (12 + 9x) Solving 72 + -6x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 72 + -6x + -9x = 12 + 9x + -9x Combine like terms: -6x + -9x = -15x 72 + -15x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 72 + -15x = 12 + 0 72 + -15x = 12 Add '-72' to each side of the equation. 72 + -72 + -15x = 12 + -72 Combine like terms: 72 + -72 = 0 0 + -15x = 12 + -72 -15x = 12 + -72 Combine like terms: 12 + -72 = -60 -15x = -60 Divide each side by '-15'. x = 4 Simplifying x = 4
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