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Simplifying 0.25x + -2.5 = 1x + 1 Reorder the terms: -2.5 + 0.25x = 1x + 1 Reorder the terms: -2.5 + 0.25x = 1 + 1x Solving -2.5 + 0.25x = 1 + 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. -2.5 + 0.25x + -1x = 1 + 1x + -1x Combine like terms: 0.25x + -1x = -0.75x -2.5 + -0.75x = 1 + 1x + -1x Combine like terms: 1x + -1x = 0 -2.5 + -0.75x = 1 + 0 -2.5 + -0.75x = 1 Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.75x = 1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.75x = 1 + 2.5 -0.75x = 1 + 2.5 Combine like terms: 1 + 2.5 = 3.5 -0.75x = 3.5 Divide each side by '-0.75'. x = -4.666666667 Simplifying x = -4.666666667
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