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Simplifying 7(6 + -6x) + 11 = -31 (6 * 7 + -6x * 7) + 11 = -31 (42 + -42x) + 11 = -31 Reorder the terms: 42 + 11 + -42x = -31 Combine like terms: 42 + 11 = 53 53 + -42x = -31 Solving 53 + -42x = -31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -42x = -31 + -53 Combine like terms: 53 + -53 = 0 0 + -42x = -31 + -53 -42x = -31 + -53 Combine like terms: -31 + -53 = -84 -42x = -84 Divide each side by '-42'. x = 2 Simplifying x = 2
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