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Simplifying 0.25(x + -8) = 5 + 2x Reorder the terms: 0.25(-8 + x) = 5 + 2x (-8 * 0.25 + x * 0.25) = 5 + 2x (-2 + 0.25x) = 5 + 2x Solving -2 + 0.25x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 0.25x + -2x = 5 + 2x + -2x Combine like terms: 0.25x + -2x = -1.75x -2 + -1.75x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1.75x = 5 + 0 -2 + -1.75x = 5 Add '2' to each side of the equation. -2 + 2 + -1.75x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -1.75x = 5 + 2 -1.75x = 5 + 2 Combine like terms: 5 + 2 = 7 -1.75x = 7 Divide each side by '-1.75'. x = -4 Simplifying x = -4
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