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Simplifying 6(7x + 11) + 7x = -10x + -52 Reorder the terms: 6(11 + 7x) + 7x = -10x + -52 (11 * 6 + 7x * 6) + 7x = -10x + -52 (66 + 42x) + 7x = -10x + -52 Combine like terms: 42x + 7x = 49x 66 + 49x = -10x + -52 Reorder the terms: 66 + 49x = -52 + -10x Solving 66 + 49x = -52 + -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. 66 + 49x + 10x = -52 + -10x + 10x Combine like terms: 49x + 10x = 59x 66 + 59x = -52 + -10x + 10x Combine like terms: -10x + 10x = 0 66 + 59x = -52 + 0 66 + 59x = -52 Add '-66' to each side of the equation. 66 + -66 + 59x = -52 + -66 Combine like terms: 66 + -66 = 0 0 + 59x = -52 + -66 59x = -52 + -66 Combine like terms: -52 + -66 = -118 59x = -118 Divide each side by '59'. x = -2 Simplifying x = -2
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