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Simplifying 7(5 + x) = -11 + 10(1 + x) (5 * 7 + x * 7) = -11 + 10(1 + x) (35 + 7x) = -11 + 10(1 + x) 35 + 7x = -11 + (1 * 10 + x * 10) 35 + 7x = -11 + (10 + 10x) Combine like terms: -11 + 10 = -1 35 + 7x = -1 + 10x Solving 35 + 7x = -1 + 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. 35 + 7x + -10x = -1 + 10x + -10x Combine like terms: 7x + -10x = -3x 35 + -3x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 35 + -3x = -1 + 0 35 + -3x = -1 Add '-35' to each side of the equation. 35 + -35 + -3x = -1 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = -1 + -35 -3x = -1 + -35 Combine like terms: -1 + -35 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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