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Simplifying 2[x + 5(7 + -1x) + 16] + -11 = 59 + -10x 2[x + (7 * 5 + -1x * 5) + 16] + -11 = 59 + -10x 2[x + (35 + -5x) + 16] + -11 = 59 + -10x Reorder the terms: 2[35 + 16 + x + -5x] + -11 = 59 + -10x Combine like terms: 35 + 16 = 51 2[51 + x + -5x] + -11 = 59 + -10x Combine like terms: x + -5x = -4x 2[51 + -4x] + -11 = 59 + -10x [51 * 2 + -4x * 2] + -11 = 59 + -10x [102 + -8x] + -11 = 59 + -10x Reorder the terms: 102 + -11 + -8x = 59 + -10x Combine like terms: 102 + -11 = 91 91 + -8x = 59 + -10x Solving 91 + -8x = 59 + -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. 91 + -8x + 10x = 59 + -10x + 10x Combine like terms: -8x + 10x = 2x 91 + 2x = 59 + -10x + 10x Combine like terms: -10x + 10x = 0 91 + 2x = 59 + 0 91 + 2x = 59 Add '-91' to each side of the equation. 91 + -91 + 2x = 59 + -91 Combine like terms: 91 + -91 = 0 0 + 2x = 59 + -91 2x = 59 + -91 Combine like terms: 59 + -91 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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