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Simplifying 5x + -8 + 3(x + -3) = x + 24 Reorder the terms: 5x + -8 + 3(-3 + x) = x + 24 5x + -8 + (-3 * 3 + x * 3) = x + 24 5x + -8 + (-9 + 3x) = x + 24 Reorder the terms: -8 + -9 + 5x + 3x = x + 24 Combine like terms: -8 + -9 = -17 -17 + 5x + 3x = x + 24 Combine like terms: 5x + 3x = 8x -17 + 8x = x + 24 Reorder the terms: -17 + 8x = 24 + x Solving -17 + 8x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 8x + -1x = 24 + x + -1x Combine like terms: 8x + -1x = 7x -17 + 7x = 24 + x + -1x Combine like terms: x + -1x = 0 -17 + 7x = 24 + 0 -17 + 7x = 24 Add '17' to each side of the equation. -17 + 17 + 7x = 24 + 17 Combine like terms: -17 + 17 = 0 0 + 7x = 24 + 17 7x = 24 + 17 Combine like terms: 24 + 17 = 41 7x = 41 Divide each side by '7'. x = 5.857142857 Simplifying x = 5.857142857
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