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Simplifying 3 + -2x + 5x + -4 = 2x + 8 + -1x Reorder the terms: 3 + -4 + -2x + 5x = 2x + 8 + -1x Combine like terms: 3 + -4 = -1 -1 + -2x + 5x = 2x + 8 + -1x Combine like terms: -2x + 5x = 3x -1 + 3x = 2x + 8 + -1x Reorder the terms: -1 + 3x = 8 + 2x + -1x Combine like terms: 2x + -1x = 1x -1 + 3x = 8 + 1x Solving -1 + 3x = 8 + 1x 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. -1 + 3x + -1x = 8 + 1x + -1x Combine like terms: 3x + -1x = 2x -1 + 2x = 8 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + 2x = 8 + 0 -1 + 2x = 8 Add '1' to each side of the equation. -1 + 1 + 2x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 8 + 1 2x = 8 + 1 Combine like terms: 8 + 1 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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