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Simplifying 5(x + 5) + 8(-1x + 8) = 77 Reorder the terms: 5(5 + x) + 8(-1x + 8) = 77 (5 * 5 + x * 5) + 8(-1x + 8) = 77 (25 + 5x) + 8(-1x + 8) = 77 Reorder the terms: 25 + 5x + 8(8 + -1x) = 77 25 + 5x + (8 * 8 + -1x * 8) = 77 25 + 5x + (64 + -8x) = 77 Reorder the terms: 25 + 64 + 5x + -8x = 77 Combine like terms: 25 + 64 = 89 89 + 5x + -8x = 77 Combine like terms: 5x + -8x = -3x 89 + -3x = 77 Solving 89 + -3x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + -3x = 77 + -89 Combine like terms: 89 + -89 = 0 0 + -3x = 77 + -89 -3x = 77 + -89 Combine like terms: 77 + -89 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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