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Simplifying 2(6x + -6) = 6(5x + -5) Reorder the terms: 2(-6 + 6x) = 6(5x + -5) (-6 * 2 + 6x * 2) = 6(5x + -5) (-12 + 12x) = 6(5x + -5) Reorder the terms: -12 + 12x = 6(-5 + 5x) -12 + 12x = (-5 * 6 + 5x * 6) -12 + 12x = (-30 + 30x) Solving -12 + 12x = -30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -12 + 12x + -30x = -30 + 30x + -30x Combine like terms: 12x + -30x = -18x -12 + -18x = -30 + 30x + -30x Combine like terms: 30x + -30x = 0 -12 + -18x = -30 + 0 -12 + -18x = -30 Add '12' to each side of the equation. -12 + 12 + -18x = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -18x = -30 + 12 -18x = -30 + 12 Combine like terms: -30 + 12 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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