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Simplifying 12(3x + 3) + -7(2x + -5) = 2x + -69 Reorder the terms: 12(3 + 3x) + -7(2x + -5) = 2x + -69 (3 * 12 + 3x * 12) + -7(2x + -5) = 2x + -69 (36 + 36x) + -7(2x + -5) = 2x + -69 Reorder the terms: 36 + 36x + -7(-5 + 2x) = 2x + -69 36 + 36x + (-5 * -7 + 2x * -7) = 2x + -69 36 + 36x + (35 + -14x) = 2x + -69 Reorder the terms: 36 + 35 + 36x + -14x = 2x + -69 Combine like terms: 36 + 35 = 71 71 + 36x + -14x = 2x + -69 Combine like terms: 36x + -14x = 22x 71 + 22x = 2x + -69 Reorder the terms: 71 + 22x = -69 + 2x Solving 71 + 22x = -69 + 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. 71 + 22x + -2x = -69 + 2x + -2x Combine like terms: 22x + -2x = 20x 71 + 20x = -69 + 2x + -2x Combine like terms: 2x + -2x = 0 71 + 20x = -69 + 0 71 + 20x = -69 Add '-71' to each side of the equation. 71 + -71 + 20x = -69 + -71 Combine like terms: 71 + -71 = 0 0 + 20x = -69 + -71 20x = -69 + -71 Combine like terms: -69 + -71 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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