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Simplifying 12(3x + 3) + -7(2x + -2) = 2x + -50 Reorder the terms: 12(3 + 3x) + -7(2x + -2) = 2x + -50 (3 * 12 + 3x * 12) + -7(2x + -2) = 2x + -50 (36 + 36x) + -7(2x + -2) = 2x + -50 Reorder the terms: 36 + 36x + -7(-2 + 2x) = 2x + -50 36 + 36x + (-2 * -7 + 2x * -7) = 2x + -50 36 + 36x + (14 + -14x) = 2x + -50 Reorder the terms: 36 + 14 + 36x + -14x = 2x + -50 Combine like terms: 36 + 14 = 50 50 + 36x + -14x = 2x + -50 Combine like terms: 36x + -14x = 22x 50 + 22x = 2x + -50 Reorder the terms: 50 + 22x = -50 + 2x Solving 50 + 22x = -50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 50 + 22x + -2x = -50 + 2x + -2x Combine like terms: 22x + -2x = 20x 50 + 20x = -50 + 2x + -2x Combine like terms: 2x + -2x = 0 50 + 20x = -50 + 0 50 + 20x = -50 Add '-50' to each side of the equation. 50 + -50 + 20x = -50 + -50 Combine like terms: 50 + -50 = 0 0 + 20x = -50 + -50 20x = -50 + -50 Combine like terms: -50 + -50 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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