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Simplifying 3(6x + -6) = 7(2x + -2) Reorder the terms: 3(-6 + 6x) = 7(2x + -2) (-6 * 3 + 6x * 3) = 7(2x + -2) (-18 + 18x) = 7(2x + -2) Reorder the terms: -18 + 18x = 7(-2 + 2x) -18 + 18x = (-2 * 7 + 2x * 7) -18 + 18x = (-14 + 14x) Solving -18 + 18x = -14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -18 + 18x + -14x = -14 + 14x + -14x Combine like terms: 18x + -14x = 4x -18 + 4x = -14 + 14x + -14x Combine like terms: 14x + -14x = 0 -18 + 4x = -14 + 0 -18 + 4x = -14 Add '18' to each side of the equation. -18 + 18 + 4x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -14 + 18 4x = -14 + 18 Combine like terms: -14 + 18 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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