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Simplifying 12(3x + 5) + -2(2x + -6) = 6x + -50 Reorder the terms: 12(5 + 3x) + -2(2x + -6) = 6x + -50 (5 * 12 + 3x * 12) + -2(2x + -6) = 6x + -50 (60 + 36x) + -2(2x + -6) = 6x + -50 Reorder the terms: 60 + 36x + -2(-6 + 2x) = 6x + -50 60 + 36x + (-6 * -2 + 2x * -2) = 6x + -50 60 + 36x + (12 + -4x) = 6x + -50 Reorder the terms: 60 + 12 + 36x + -4x = 6x + -50 Combine like terms: 60 + 12 = 72 72 + 36x + -4x = 6x + -50 Combine like terms: 36x + -4x = 32x 72 + 32x = 6x + -50 Reorder the terms: 72 + 32x = -50 + 6x Solving 72 + 32x = -50 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 72 + 32x + -6x = -50 + 6x + -6x Combine like terms: 32x + -6x = 26x 72 + 26x = -50 + 6x + -6x Combine like terms: 6x + -6x = 0 72 + 26x = -50 + 0 72 + 26x = -50 Add '-72' to each side of the equation. 72 + -72 + 26x = -50 + -72 Combine like terms: 72 + -72 = 0 0 + 26x = -50 + -72 26x = -50 + -72 Combine like terms: -50 + -72 = -122 26x = -122 Divide each side by '26'. x = -4.692307692 Simplifying x = -4.692307692
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