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Simplifying 4x + -22 + 3x + -45 = 8 + -2x + 26 + 5x + -1 Reorder the terms: -22 + -45 + 4x + 3x = 8 + -2x + 26 + 5x + -1 Combine like terms: -22 + -45 = -67 -67 + 4x + 3x = 8 + -2x + 26 + 5x + -1 Combine like terms: 4x + 3x = 7x -67 + 7x = 8 + -2x + 26 + 5x + -1 Reorder the terms: -67 + 7x = 8 + 26 + -1 + -2x + 5x Combine like terms: 8 + 26 = 34 -67 + 7x = 34 + -1 + -2x + 5x Combine like terms: 34 + -1 = 33 -67 + 7x = 33 + -2x + 5x Combine like terms: -2x + 5x = 3x -67 + 7x = 33 + 3x Solving -67 + 7x = 33 + 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. -67 + 7x + -3x = 33 + 3x + -3x Combine like terms: 7x + -3x = 4x -67 + 4x = 33 + 3x + -3x Combine like terms: 3x + -3x = 0 -67 + 4x = 33 + 0 -67 + 4x = 33 Add '67' to each side of the equation. -67 + 67 + 4x = 33 + 67 Combine like terms: -67 + 67 = 0 0 + 4x = 33 + 67 4x = 33 + 67 Combine like terms: 33 + 67 = 100 4x = 100 Divide each side by '4'. x = 25 Simplifying x = 25
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