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Simplifying -3(3x + 1) = 2(-6x + 6) + 6 Reorder the terms: -3(1 + 3x) = 2(-6x + 6) + 6 (1 * -3 + 3x * -3) = 2(-6x + 6) + 6 (-3 + -9x) = 2(-6x + 6) + 6 Reorder the terms: -3 + -9x = 2(6 + -6x) + 6 -3 + -9x = (6 * 2 + -6x * 2) + 6 -3 + -9x = (12 + -12x) + 6 Reorder the terms: -3 + -9x = 12 + 6 + -12x Combine like terms: 12 + 6 = 18 -3 + -9x = 18 + -12x Solving -3 + -9x = 18 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -3 + -9x + 12x = 18 + -12x + 12x Combine like terms: -9x + 12x = 3x -3 + 3x = 18 + -12x + 12x Combine like terms: -12x + 12x = 0 -3 + 3x = 18 + 0 -3 + 3x = 18 Add '3' to each side of the equation. -3 + 3 + 3x = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 18 + 3 3x = 18 + 3 Combine like terms: 18 + 3 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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