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Simplifying -17 + (2x + -5) = 24 + -3(x + 1) Reorder the terms: -17 + (-5 + 2x) = 24 + -3(x + 1) Remove parenthesis around (-5 + 2x) -17 + -5 + 2x = 24 + -3(x + 1) Combine like terms: -17 + -5 = -22 -22 + 2x = 24 + -3(x + 1) Reorder the terms: -22 + 2x = 24 + -3(1 + x) -22 + 2x = 24 + (1 * -3 + x * -3) -22 + 2x = 24 + (-3 + -3x) Combine like terms: 24 + -3 = 21 -22 + 2x = 21 + -3x Solving -22 + 2x = 21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -22 + 2x + 3x = 21 + -3x + 3x Combine like terms: 2x + 3x = 5x -22 + 5x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -22 + 5x = 21 + 0 -22 + 5x = 21 Add '22' to each side of the equation. -22 + 22 + 5x = 21 + 22 Combine like terms: -22 + 22 = 0 0 + 5x = 21 + 22 5x = 21 + 22 Combine like terms: 21 + 22 = 43 5x = 43 Divide each side by '5'. x = 8.6 Simplifying x = 8.6
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