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Simplifying 5(x + -3) + -2(x + -3) = 9 Reorder the terms: 5(-3 + x) + -2(x + -3) = 9 (-3 * 5 + x * 5) + -2(x + -3) = 9 (-15 + 5x) + -2(x + -3) = 9 Reorder the terms: -15 + 5x + -2(-3 + x) = 9 -15 + 5x + (-3 * -2 + x * -2) = 9 -15 + 5x + (6 + -2x) = 9 Reorder the terms: -15 + 6 + 5x + -2x = 9 Combine like terms: -15 + 6 = -9 -9 + 5x + -2x = 9 Combine like terms: 5x + -2x = 3x -9 + 3x = 9 Solving -9 + 3x = 9 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 + 3x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 9 + 9 3x = 9 + 9 Combine like terms: 9 + 9 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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