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Simplifying 2[x + 5(7 + -1x) + 18] + -11 = 59 + -10x 2[x + (7 * 5 + -1x * 5) + 18] + -11 = 59 + -10x 2[x + (35 + -5x) + 18] + -11 = 59 + -10x Reorder the terms: 2[35 + 18 + x + -5x] + -11 = 59 + -10x Combine like terms: 35 + 18 = 53 2[53 + x + -5x] + -11 = 59 + -10x Combine like terms: x + -5x = -4x 2[53 + -4x] + -11 = 59 + -10x [53 * 2 + -4x * 2] + -11 = 59 + -10x [106 + -8x] + -11 = 59 + -10x Reorder the terms: 106 + -11 + -8x = 59 + -10x Combine like terms: 106 + -11 = 95 95 + -8x = 59 + -10x Solving 95 + -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. 95 + -8x + 10x = 59 + -10x + 10x Combine like terms: -8x + 10x = 2x 95 + 2x = 59 + -10x + 10x Combine like terms: -10x + 10x = 0 95 + 2x = 59 + 0 95 + 2x = 59 Add '-95' to each side of the equation. 95 + -95 + 2x = 59 + -95 Combine like terms: 95 + -95 = 0 0 + 2x = 59 + -95 2x = 59 + -95 Combine like terms: 59 + -95 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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