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Simplifying 4x + -5x = x + 1 Combine like terms: 4x + -5x = -1x -1x = x + 1 Reorder the terms: -1x = 1 + x Solving -1x = 1 + x 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. -1x + -1x = 1 + x + -1x Combine like terms: -1x + -1x = -2x -2x = 1 + x + -1x Combine like terms: x + -1x = 0 -2x = 1 + 0 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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