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Simplifying 5(x + -3) + -3(x + 2) = 9 Reorder the terms: 5(-3 + x) + -3(x + 2) = 9 (-3 * 5 + x * 5) + -3(x + 2) = 9 (-15 + 5x) + -3(x + 2) = 9 Reorder the terms: -15 + 5x + -3(2 + x) = 9 -15 + 5x + (2 * -3 + x * -3) = 9 -15 + 5x + (-6 + -3x) = 9 Reorder the terms: -15 + -6 + 5x + -3x = 9 Combine like terms: -15 + -6 = -21 -21 + 5x + -3x = 9 Combine like terms: 5x + -3x = 2x -21 + 2x = 9 Solving -21 + 2x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 9 + 21 2x = 9 + 21 Combine like terms: 9 + 21 = 30 2x = 30 Divide each side by '2'. x = 15 Simplifying x = 15
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