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Simplifying 8(x + 1) + 5(x + 7) = 56 Reorder the terms: 8(1 + x) + 5(x + 7) = 56 (1 * 8 + x * 8) + 5(x + 7) = 56 (8 + 8x) + 5(x + 7) = 56 Reorder the terms: 8 + 8x + 5(7 + x) = 56 8 + 8x + (7 * 5 + x * 5) = 56 8 + 8x + (35 + 5x) = 56 Reorder the terms: 8 + 35 + 8x + 5x = 56 Combine like terms: 8 + 35 = 43 43 + 8x + 5x = 56 Combine like terms: 8x + 5x = 13x 43 + 13x = 56 Solving 43 + 13x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + 13x = 56 + -43 Combine like terms: 43 + -43 = 0 0 + 13x = 56 + -43 13x = 56 + -43 Combine like terms: 56 + -43 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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