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Simplifying 11(x + 7) = 4 + -10(x + -1) Reorder the terms: 11(7 + x) = 4 + -10(x + -1) (7 * 11 + x * 11) = 4 + -10(x + -1) (77 + 11x) = 4 + -10(x + -1) Reorder the terms: 77 + 11x = 4 + -10(-1 + x) 77 + 11x = 4 + (-1 * -10 + x * -10) 77 + 11x = 4 + (10 + -10x) Combine like terms: 4 + 10 = 14 77 + 11x = 14 + -10x Solving 77 + 11x = 14 + -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 = 14 + -10x + 10x Combine like terms: 11x + 10x = 21x 77 + 21x = 14 + -10x + 10x Combine like terms: -10x + 10x = 0 77 + 21x = 14 + 0 77 + 21x = 14 Add '-77' to each side of the equation. 77 + -77 + 21x = 14 + -77 Combine like terms: 77 + -77 = 0 0 + 21x = 14 + -77 21x = 14 + -77 Combine like terms: 14 + -77 = -63 21x = -63 Divide each side by '21'. x = -3 Simplifying x = -3
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