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Simplifying 12(3x + 3) + -6(2x + -2) = 14x + -12 Reorder the terms: 12(3 + 3x) + -6(2x + -2) = 14x + -12 (3 * 12 + 3x * 12) + -6(2x + -2) = 14x + -12 (36 + 36x) + -6(2x + -2) = 14x + -12 Reorder the terms: 36 + 36x + -6(-2 + 2x) = 14x + -12 36 + 36x + (-2 * -6 + 2x * -6) = 14x + -12 36 + 36x + (12 + -12x) = 14x + -12 Reorder the terms: 36 + 12 + 36x + -12x = 14x + -12 Combine like terms: 36 + 12 = 48 48 + 36x + -12x = 14x + -12 Combine like terms: 36x + -12x = 24x 48 + 24x = 14x + -12 Reorder the terms: 48 + 24x = -12 + 14x Solving 48 + 24x = -12 + 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. 48 + 24x + -14x = -12 + 14x + -14x Combine like terms: 24x + -14x = 10x 48 + 10x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 48 + 10x = -12 + 0 48 + 10x = -12 Add '-48' to each side of the equation. 48 + -48 + 10x = -12 + -48 Combine like terms: 48 + -48 = 0 0 + 10x = -12 + -48 10x = -12 + -48 Combine like terms: -12 + -48 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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