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Simplifying 0.25(3x + -2) = 0.25(8x + 1) Reorder the terms: 0.25(-2 + 3x) = 0.25(8x + 1) (-2 * 0.25 + 3x * 0.25) = 0.25(8x + 1) (-0.5 + 0.75x) = 0.25(8x + 1) Reorder the terms: -0.5 + 0.75x = 0.25(1 + 8x) -0.5 + 0.75x = (1 * 0.25 + 8x * 0.25) -0.5 + 0.75x = (0.25 + 2x) Solving -0.5 + 0.75x = 0.25 + 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. -0.5 + 0.75x + -2x = 0.25 + 2x + -2x Combine like terms: 0.75x + -2x = -1.25x -0.5 + -1.25x = 0.25 + 2x + -2x Combine like terms: 2x + -2x = 0 -0.5 + -1.25x = 0.25 + 0 -0.5 + -1.25x = 0.25 Add '0.5' to each side of the equation. -0.5 + 0.5 + -1.25x = 0.25 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -1.25x = 0.25 + 0.5 -1.25x = 0.25 + 0.5 Combine like terms: 0.25 + 0.5 = 0.75 -1.25x = 0.75 Divide each side by '-1.25'. x = -0.6 Simplifying x = -0.6
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