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Simplifying 7(x + 8) + -1(x + -3) = 77 Reorder the terms: 7(8 + x) + -1(x + -3) = 77 (8 * 7 + x * 7) + -1(x + -3) = 77 (56 + 7x) + -1(x + -3) = 77 Reorder the terms: 56 + 7x + -1(-3 + x) = 77 56 + 7x + (-3 * -1 + x * -1) = 77 56 + 7x + (3 + -1x) = 77 Reorder the terms: 56 + 3 + 7x + -1x = 77 Combine like terms: 56 + 3 = 59 59 + 7x + -1x = 77 Combine like terms: 7x + -1x = 6x 59 + 6x = 77 Solving 59 + 6x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + 6x = 77 + -59 Combine like terms: 59 + -59 = 0 0 + 6x = 77 + -59 6x = 77 + -59 Combine like terms: 77 + -59 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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