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Simplifying 5x + 6(-2x + 7) = 77 Reorder the terms: 5x + 6(7 + -2x) = 77 5x + (7 * 6 + -2x * 6) = 77 5x + (42 + -12x) = 77 Reorder the terms: 42 + 5x + -12x = 77 Combine like terms: 5x + -12x = -7x 42 + -7x = 77 Solving 42 + -7x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -7x = 77 + -42 Combine like terms: 42 + -42 = 0 0 + -7x = 77 + -42 -7x = 77 + -42 Combine like terms: 77 + -42 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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