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Simplifying 0.25x + 2(x + -2) = 4x + 1 Reorder the terms: 0.25x + 2(-2 + x) = 4x + 1 0.25x + (-2 * 2 + x * 2) = 4x + 1 0.25x + (-4 + 2x) = 4x + 1 Reorder the terms: -4 + 0.25x + 2x = 4x + 1 Combine like terms: 0.25x + 2x = 2.25x -4 + 2.25x = 4x + 1 Reorder the terms: -4 + 2.25x = 1 + 4x Solving -4 + 2.25x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 2.25x + -4x = 1 + 4x + -4x Combine like terms: 2.25x + -4x = -1.75x -4 + -1.75x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1.75x = 1 + 0 -4 + -1.75x = 1 Add '4' to each side of the equation. -4 + 4 + -1.75x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -1.75x = 1 + 4 -1.75x = 1 + 4 Combine like terms: 1 + 4 = 5 -1.75x = 5 Divide each side by '-1.75'. x = -2.857142857 Simplifying x = -2.857142857
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