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Simplifying 12(3x + 5) + -7(2x + -2) = 2x + -46 Reorder the terms: 12(5 + 3x) + -7(2x + -2) = 2x + -46 (5 * 12 + 3x * 12) + -7(2x + -2) = 2x + -46 (60 + 36x) + -7(2x + -2) = 2x + -46 Reorder the terms: 60 + 36x + -7(-2 + 2x) = 2x + -46 60 + 36x + (-2 * -7 + 2x * -7) = 2x + -46 60 + 36x + (14 + -14x) = 2x + -46 Reorder the terms: 60 + 14 + 36x + -14x = 2x + -46 Combine like terms: 60 + 14 = 74 74 + 36x + -14x = 2x + -46 Combine like terms: 36x + -14x = 22x 74 + 22x = 2x + -46 Reorder the terms: 74 + 22x = -46 + 2x Solving 74 + 22x = -46 + 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. 74 + 22x + -2x = -46 + 2x + -2x Combine like terms: 22x + -2x = 20x 74 + 20x = -46 + 2x + -2x Combine like terms: 2x + -2x = 0 74 + 20x = -46 + 0 74 + 20x = -46 Add '-74' to each side of the equation. 74 + -74 + 20x = -46 + -74 Combine like terms: 74 + -74 = 0 0 + 20x = -46 + -74 20x = -46 + -74 Combine like terms: -46 + -74 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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