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Simplifying 3(x + 1) + 5(x + 1) = 64 Reorder the terms: 3(1 + x) + 5(x + 1) = 64 (1 * 3 + x * 3) + 5(x + 1) = 64 (3 + 3x) + 5(x + 1) = 64 Reorder the terms: 3 + 3x + 5(1 + x) = 64 3 + 3x + (1 * 5 + x * 5) = 64 3 + 3x + (5 + 5x) = 64 Reorder the terms: 3 + 5 + 3x + 5x = 64 Combine like terms: 3 + 5 = 8 8 + 3x + 5x = 64 Combine like terms: 3x + 5x = 8x 8 + 8x = 64 Solving 8 + 8x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8x = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 64 + -8 8x = 64 + -8 Combine like terms: 64 + -8 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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