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Simplifying 5(x + 8) + 3(x + 1) = 99 Reorder the terms: 5(8 + x) + 3(x + 1) = 99 (8 * 5 + x * 5) + 3(x + 1) = 99 (40 + 5x) + 3(x + 1) = 99 Reorder the terms: 40 + 5x + 3(1 + x) = 99 40 + 5x + (1 * 3 + x * 3) = 99 40 + 5x + (3 + 3x) = 99 Reorder the terms: 40 + 3 + 5x + 3x = 99 Combine like terms: 40 + 3 = 43 43 + 5x + 3x = 99 Combine like terms: 5x + 3x = 8x 43 + 8x = 99 Solving 43 + 8x = 99 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 + 8x = 99 + -43 Combine like terms: 43 + -43 = 0 0 + 8x = 99 + -43 8x = 99 + -43 Combine like terms: 99 + -43 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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