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Simplifying 0.25(x + -30) = 3 + 2x Reorder the terms: 0.25(-30 + x) = 3 + 2x (-30 * 0.25 + x * 0.25) = 3 + 2x (-7.5 + 0.25x) = 3 + 2x Solving -7.5 + 0.25x = 3 + 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. -7.5 + 0.25x + -2x = 3 + 2x + -2x Combine like terms: 0.25x + -2x = -1.75x -7.5 + -1.75x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -7.5 + -1.75x = 3 + 0 -7.5 + -1.75x = 3 Add '7.5' to each side of the equation. -7.5 + 7.5 + -1.75x = 3 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -1.75x = 3 + 7.5 -1.75x = 3 + 7.5 Combine like terms: 3 + 7.5 = 10.5 -1.75x = 10.5 Divide each side by '-1.75'. x = -6 Simplifying x = -6
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