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Simplifying 6(2x + -2) = 3(3x + -3) Reorder the terms: 6(-2 + 2x) = 3(3x + -3) (-2 * 6 + 2x * 6) = 3(3x + -3) (-12 + 12x) = 3(3x + -3) Reorder the terms: -12 + 12x = 3(-3 + 3x) -12 + 12x = (-3 * 3 + 3x * 3) -12 + 12x = (-9 + 9x) Solving -12 + 12x = -9 + 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. -12 + 12x + -9x = -9 + 9x + -9x Combine like terms: 12x + -9x = 3x -12 + 3x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + 3x = -9 + 0 -12 + 3x = -9 Add '12' to each side of the equation. -12 + 12 + 3x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -9 + 12 3x = -9 + 12 Combine like terms: -9 + 12 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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