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