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Simplifying 17x + 2 + 3x + -19 = 24x + -21 Reorder the terms: 2 + -19 + 17x + 3x = 24x + -21 Combine like terms: 2 + -19 = -17 -17 + 17x + 3x = 24x + -21 Combine like terms: 17x + 3x = 20x -17 + 20x = 24x + -21 Reorder the terms: -17 + 20x = -21 + 24x Solving -17 + 20x = -21 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -17 + 20x + -24x = -21 + 24x + -24x Combine like terms: 20x + -24x = -4x -17 + -4x = -21 + 24x + -24x Combine like terms: 24x + -24x = 0 -17 + -4x = -21 + 0 -17 + -4x = -21 Add '17' to each side of the equation. -17 + 17 + -4x = -21 + 17 Combine like terms: -17 + 17 = 0 0 + -4x = -21 + 17 -4x = -21 + 17 Combine like terms: -21 + 17 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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