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Simplifying 0.25(x + -2) = 5x + 10 Reorder the terms: 0.25(-2 + x) = 5x + 10 (-2 * 0.25 + x * 0.25) = 5x + 10 (-0.5 + 0.25x) = 5x + 10 Reorder the terms: -0.5 + 0.25x = 10 + 5x Solving -0.5 + 0.25x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -0.5 + 0.25x + -5x = 10 + 5x + -5x Combine like terms: 0.25x + -5x = -4.75x -0.5 + -4.75x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -0.5 + -4.75x = 10 + 0 -0.5 + -4.75x = 10 Add '0.5' to each side of the equation. -0.5 + 0.5 + -4.75x = 10 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -4.75x = 10 + 0.5 -4.75x = 10 + 0.5 Combine like terms: 10 + 0.5 = 10.5 -4.75x = 10.5 Divide each side by '-4.75'. x = -2.210526316 Simplifying x = -2.210526316
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