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Simplifying 12(3x + 3) + -6(2x + -3) = 14x + -6 Reorder the terms: 12(3 + 3x) + -6(2x + -3) = 14x + -6 (3 * 12 + 3x * 12) + -6(2x + -3) = 14x + -6 (36 + 36x) + -6(2x + -3) = 14x + -6 Reorder the terms: 36 + 36x + -6(-3 + 2x) = 14x + -6 36 + 36x + (-3 * -6 + 2x * -6) = 14x + -6 36 + 36x + (18 + -12x) = 14x + -6 Reorder the terms: 36 + 18 + 36x + -12x = 14x + -6 Combine like terms: 36 + 18 = 54 54 + 36x + -12x = 14x + -6 Combine like terms: 36x + -12x = 24x 54 + 24x = 14x + -6 Reorder the terms: 54 + 24x = -6 + 14x Solving 54 + 24x = -6 + 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. 54 + 24x + -14x = -6 + 14x + -14x Combine like terms: 24x + -14x = 10x 54 + 10x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 54 + 10x = -6 + 0 54 + 10x = -6 Add '-54' to each side of the equation. 54 + -54 + 10x = -6 + -54 Combine like terms: 54 + -54 = 0 0 + 10x = -6 + -54 10x = -6 + -54 Combine like terms: -6 + -54 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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