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Simplifying 2(8x + 7) = -50 + 2(-5x + 6) Reorder the terms: 2(7 + 8x) = -50 + 2(-5x + 6) (7 * 2 + 8x * 2) = -50 + 2(-5x + 6) (14 + 16x) = -50 + 2(-5x + 6) Reorder the terms: 14 + 16x = -50 + 2(6 + -5x) 14 + 16x = -50 + (6 * 2 + -5x * 2) 14 + 16x = -50 + (12 + -10x) Combine like terms: -50 + 12 = -38 14 + 16x = -38 + -10x Solving 14 + 16x = -38 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 14 + 16x + 10x = -38 + -10x + 10x Combine like terms: 16x + 10x = 26x 14 + 26x = -38 + -10x + 10x Combine like terms: -10x + 10x = 0 14 + 26x = -38 + 0 14 + 26x = -38 Add '-14' to each side of the equation. 14 + -14 + 26x = -38 + -14 Combine like terms: 14 + -14 = 0 0 + 26x = -38 + -14 26x = -38 + -14 Combine like terms: -38 + -14 = -52 26x = -52 Divide each side by '26'. x = -2 Simplifying x = -2
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