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Simplifying 2[x + 5(6 + -1x) + 16] + -10 = 50 + -10x 2[x + (6 * 5 + -1x * 5) + 16] + -10 = 50 + -10x 2[x + (30 + -5x) + 16] + -10 = 50 + -10x Reorder the terms: 2[30 + 16 + x + -5x] + -10 = 50 + -10x Combine like terms: 30 + 16 = 46 2[46 + x + -5x] + -10 = 50 + -10x Combine like terms: x + -5x = -4x 2[46 + -4x] + -10 = 50 + -10x [46 * 2 + -4x * 2] + -10 = 50 + -10x [92 + -8x] + -10 = 50 + -10x Reorder the terms: 92 + -10 + -8x = 50 + -10x Combine like terms: 92 + -10 = 82 82 + -8x = 50 + -10x Solving 82 + -8x = 50 + -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. 82 + -8x + 10x = 50 + -10x + 10x Combine like terms: -8x + 10x = 2x 82 + 2x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 82 + 2x = 50 + 0 82 + 2x = 50 Add '-82' to each side of the equation. 82 + -82 + 2x = 50 + -82 Combine like terms: 82 + -82 = 0 0 + 2x = 50 + -82 2x = 50 + -82 Combine like terms: 50 + -82 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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