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Simplifying 10(11 + -1x) + x = 10(11 + -1x) + 8 (11 * 10 + -1x * 10) + x = 10(11 + -1x) + 8 (110 + -10x) + x = 10(11 + -1x) + 8 Combine like terms: -10x + x = -9x 110 + -9x = 10(11 + -1x) + 8 110 + -9x = (11 * 10 + -1x * 10) + 8 110 + -9x = (110 + -10x) + 8 Reorder the terms: 110 + -9x = 110 + 8 + -10x Combine like terms: 110 + 8 = 118 110 + -9x = 118 + -10x Solving 110 + -9x = 118 + -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. 110 + -9x + 10x = 118 + -10x + 10x Combine like terms: -9x + 10x = 1x 110 + 1x = 118 + -10x + 10x Combine like terms: -10x + 10x = 0 110 + 1x = 118 + 0 110 + 1x = 118 Add '-110' to each side of the equation. 110 + -110 + 1x = 118 + -110 Combine like terms: 110 + -110 = 0 0 + 1x = 118 + -110 1x = 118 + -110 Combine like terms: 118 + -110 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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