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Simplifying 10x + (11 + -1x) = 2(10(11 + -1x) + x) + 7 Remove parenthesis around (11 + -1x) 10x + 11 + -1x = 2(10(11 + -1x) + x) + 7 Reorder the terms: 11 + 10x + -1x = 2(10(11 + -1x) + x) + 7 Combine like terms: 10x + -1x = 9x 11 + 9x = 2(10(11 + -1x) + x) + 7 11 + 9x = 2((11 * 10 + -1x * 10) + x) + 7 11 + 9x = 2((110 + -10x) + x) + 7 Combine like terms: -10x + x = -9x 11 + 9x = 2(110 + -9x) + 7 11 + 9x = (110 * 2 + -9x * 2) + 7 11 + 9x = (220 + -18x) + 7 Reorder the terms: 11 + 9x = 220 + 7 + -18x Combine like terms: 220 + 7 = 227 11 + 9x = 227 + -18x Solving 11 + 9x = 227 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 11 + 9x + 18x = 227 + -18x + 18x Combine like terms: 9x + 18x = 27x 11 + 27x = 227 + -18x + 18x Combine like terms: -18x + 18x = 0 11 + 27x = 227 + 0 11 + 27x = 227 Add '-11' to each side of the equation. 11 + -11 + 27x = 227 + -11 Combine like terms: 11 + -11 = 0 0 + 27x = 227 + -11 27x = 227 + -11 Combine like terms: 227 + -11 = 216 27x = 216 Divide each side by '27'. x = 8 Simplifying x = 8
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