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Simplifying 5(x + 1) + 3(x + 3) = 46 Reorder the terms: 5(1 + x) + 3(x + 3) = 46 (1 * 5 + x * 5) + 3(x + 3) = 46 (5 + 5x) + 3(x + 3) = 46 Reorder the terms: 5 + 5x + 3(3 + x) = 46 5 + 5x + (3 * 3 + x * 3) = 46 5 + 5x + (9 + 3x) = 46 Reorder the terms: 5 + 9 + 5x + 3x = 46 Combine like terms: 5 + 9 = 14 14 + 5x + 3x = 46 Combine like terms: 5x + 3x = 8x 14 + 8x = 46 Solving 14 + 8x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8x = 46 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 46 + -14 8x = 46 + -14 Combine like terms: 46 + -14 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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