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Simplifying 5(x + -3) + 2(x + 3) = 15 Reorder the terms: 5(-3 + x) + 2(x + 3) = 15 (-3 * 5 + x * 5) + 2(x + 3) = 15 (-15 + 5x) + 2(x + 3) = 15 Reorder the terms: -15 + 5x + 2(3 + x) = 15 -15 + 5x + (3 * 2 + x * 2) = 15 -15 + 5x + (6 + 2x) = 15 Reorder the terms: -15 + 6 + 5x + 2x = 15 Combine like terms: -15 + 6 = -9 -9 + 5x + 2x = 15 Combine like terms: 5x + 2x = 7x -9 + 7x = 15 Solving -9 + 7x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 15 + 9 7x = 15 + 9 Combine like terms: 15 + 9 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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