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Simplifying 11(x + -7) = 10x + -76 Reorder the terms: 11(-7 + x) = 10x + -76 (-7 * 11 + x * 11) = 10x + -76 (-77 + 11x) = 10x + -76 Reorder the terms: -77 + 11x = -76 + 10x Solving -77 + 11x = -76 + 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. -77 + 11x + -10x = -76 + 10x + -10x Combine like terms: 11x + -10x = 1x -77 + 1x = -76 + 10x + -10x Combine like terms: 10x + -10x = 0 -77 + 1x = -76 + 0 -77 + 1x = -76 Add '77' to each side of the equation. -77 + 77 + 1x = -76 + 77 Combine like terms: -77 + 77 = 0 0 + 1x = -76 + 77 1x = -76 + 77 Combine like terms: -76 + 77 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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