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Simplifying 5(2x + -3) + -1(x + 4) = 21 Reorder the terms: 5(-3 + 2x) + -1(x + 4) = 21 (-3 * 5 + 2x * 5) + -1(x + 4) = 21 (-15 + 10x) + -1(x + 4) = 21 Reorder the terms: -15 + 10x + -1(4 + x) = 21 -15 + 10x + (4 * -1 + x * -1) = 21 -15 + 10x + (-4 + -1x) = 21 Reorder the terms: -15 + -4 + 10x + -1x = 21 Combine like terms: -15 + -4 = -19 -19 + 10x + -1x = 21 Combine like terms: 10x + -1x = 9x -19 + 9x = 21 Solving -19 + 9x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 9x = 21 + 19 Combine like terms: -19 + 19 = 0 0 + 9x = 21 + 19 9x = 21 + 19 Combine like terms: 21 + 19 = 40 9x = 40 Divide each side by '9'. x = 4.444444444 Simplifying x = 4.444444444
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