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Simplifying 12(3x + 3) + -7(2x + -3) = 2x + -83 Reorder the terms: 12(3 + 3x) + -7(2x + -3) = 2x + -83 (3 * 12 + 3x * 12) + -7(2x + -3) = 2x + -83 (36 + 36x) + -7(2x + -3) = 2x + -83 Reorder the terms: 36 + 36x + -7(-3 + 2x) = 2x + -83 36 + 36x + (-3 * -7 + 2x * -7) = 2x + -83 36 + 36x + (21 + -14x) = 2x + -83 Reorder the terms: 36 + 21 + 36x + -14x = 2x + -83 Combine like terms: 36 + 21 = 57 57 + 36x + -14x = 2x + -83 Combine like terms: 36x + -14x = 22x 57 + 22x = 2x + -83 Reorder the terms: 57 + 22x = -83 + 2x Solving 57 + 22x = -83 + 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. 57 + 22x + -2x = -83 + 2x + -2x Combine like terms: 22x + -2x = 20x 57 + 20x = -83 + 2x + -2x Combine like terms: 2x + -2x = 0 57 + 20x = -83 + 0 57 + 20x = -83 Add '-57' to each side of the equation. 57 + -57 + 20x = -83 + -57 Combine like terms: 57 + -57 = 0 0 + 20x = -83 + -57 20x = -83 + -57 Combine like terms: -83 + -57 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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