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Simplifying 5x + -17 = 4x + -1(x + -23) Reorder the terms: -17 + 5x = 4x + -1(x + -23) Reorder the terms: -17 + 5x = 4x + -1(-23 + x) -17 + 5x = 4x + (-23 * -1 + x * -1) -17 + 5x = 4x + (23 + -1x) Reorder the terms: -17 + 5x = 23 + 4x + -1x Combine like terms: 4x + -1x = 3x -17 + 5x = 23 + 3x Solving -17 + 5x = 23 + 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. -17 + 5x + -3x = 23 + 3x + -3x Combine like terms: 5x + -3x = 2x -17 + 2x = 23 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 2x = 23 + 0 -17 + 2x = 23 Add '17' to each side of the equation. -17 + 17 + 2x = 23 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = 23 + 17 2x = 23 + 17 Combine like terms: 23 + 17 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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