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Simplifying 3(x + 4) + 5(x + 3) = 59 Reorder the terms: 3(4 + x) + 5(x + 3) = 59 (4 * 3 + x * 3) + 5(x + 3) = 59 (12 + 3x) + 5(x + 3) = 59 Reorder the terms: 12 + 3x + 5(3 + x) = 59 12 + 3x + (3 * 5 + x * 5) = 59 12 + 3x + (15 + 5x) = 59 Reorder the terms: 12 + 15 + 3x + 5x = 59 Combine like terms: 12 + 15 = 27 27 + 3x + 5x = 59 Combine like terms: 3x + 5x = 8x 27 + 8x = 59 Solving 27 + 8x = 59 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 8x = 59 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = 59 + -27 8x = 59 + -27 Combine like terms: 59 + -27 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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