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Simplifying 0.25(x + -3) + -0.41 = 0.5(2x + -1) Reorder the terms: 0.25(-3 + x) + -0.41 = 0.5(2x + -1) (-3 * 0.25 + x * 0.25) + -0.41 = 0.5(2x + -1) (-0.75 + 0.25x) + -0.41 = 0.5(2x + -1) Reorder the terms: -0.75 + -0.41 + 0.25x = 0.5(2x + -1) Combine like terms: -0.75 + -0.41 = -1.16 -1.16 + 0.25x = 0.5(2x + -1) Reorder the terms: -1.16 + 0.25x = 0.5(-1 + 2x) -1.16 + 0.25x = (-1 * 0.5 + 2x * 0.5) -1.16 + 0.25x = (-0.5 + 1x) Solving -1.16 + 0.25x = -0.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1.16 + 0.25x + -1x = -0.5 + 1x + -1x Combine like terms: 0.25x + -1x = -0.75x -1.16 + -0.75x = -0.5 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.16 + -0.75x = -0.5 + 0 -1.16 + -0.75x = -0.5 Add '1.16' to each side of the equation. -1.16 + 1.16 + -0.75x = -0.5 + 1.16 Combine like terms: -1.16 + 1.16 = 0.00 0.00 + -0.75x = -0.5 + 1.16 -0.75x = -0.5 + 1.16 Combine like terms: -0.5 + 1.16 = 0.66 -0.75x = 0.66 Divide each side by '-0.75'. x = -0.88 Simplifying x = -0.88
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