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Simplifying 5(x + 3) + 3(x + 6) = 15 Reorder the terms: 5(3 + x) + 3(x + 6) = 15 (3 * 5 + x * 5) + 3(x + 6) = 15 (15 + 5x) + 3(x + 6) = 15 Reorder the terms: 15 + 5x + 3(6 + x) = 15 15 + 5x + (6 * 3 + x * 3) = 15 15 + 5x + (18 + 3x) = 15 Reorder the terms: 15 + 18 + 5x + 3x = 15 Combine like terms: 15 + 18 = 33 33 + 5x + 3x = 15 Combine like terms: 5x + 3x = 8x 33 + 8x = 15 Solving 33 + 8x = 15 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 + 8x = 15 + -33 Combine like terms: 33 + -33 = 0 0 + 8x = 15 + -33 8x = 15 + -33 Combine like terms: 15 + -33 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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