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Simplifying 5(2x + -3) + -1(x + 9) = 21 Reorder the terms: 5(-3 + 2x) + -1(x + 9) = 21 (-3 * 5 + 2x * 5) + -1(x + 9) = 21 (-15 + 10x) + -1(x + 9) = 21 Reorder the terms: -15 + 10x + -1(9 + x) = 21 -15 + 10x + (9 * -1 + x * -1) = 21 -15 + 10x + (-9 + -1x) = 21 Reorder the terms: -15 + -9 + 10x + -1x = 21 Combine like terms: -15 + -9 = -24 -24 + 10x + -1x = 21 Combine like terms: 10x + -1x = 9x -24 + 9x = 21 Solving -24 + 9x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 9x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + 9x = 21 + 24 9x = 21 + 24 Combine like terms: 21 + 24 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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