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Simplifying 5(x + 3) + 3(3x + 6) = 5 Reorder the terms: 5(3 + x) + 3(3x + 6) = 5 (3 * 5 + x * 5) + 3(3x + 6) = 5 (15 + 5x) + 3(3x + 6) = 5 Reorder the terms: 15 + 5x + 3(6 + 3x) = 5 15 + 5x + (6 * 3 + 3x * 3) = 5 15 + 5x + (18 + 9x) = 5 Reorder the terms: 15 + 18 + 5x + 9x = 5 Combine like terms: 15 + 18 = 33 33 + 5x + 9x = 5 Combine like terms: 5x + 9x = 14x 33 + 14x = 5 Solving 33 + 14x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 14x = 5 + -33 Combine like terms: 33 + -33 = 0 0 + 14x = 5 + -33 14x = 5 + -33 Combine like terms: 5 + -33 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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