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Simplifying 0.25(x + -6) = 0.5(x + 1) Reorder the terms: 0.25(-6 + x) = 0.5(x + 1) (-6 * 0.25 + x * 0.25) = 0.5(x + 1) (-1.5 + 0.25x) = 0.5(x + 1) Reorder the terms: -1.5 + 0.25x = 0.5(1 + x) -1.5 + 0.25x = (1 * 0.5 + x * 0.5) -1.5 + 0.25x = (0.5 + 0.5x) Solving -1.5 + 0.25x = 0.5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -1.5 + 0.25x + -0.5x = 0.5 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x -1.5 + -0.25x = 0.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1.5 + -0.25x = 0.5 + 0.0 -1.5 + -0.25x = 0.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + -0.25x = 0.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.25x = 0.5 + 1.5 -0.25x = 0.5 + 1.5 Combine like terms: 0.5 + 1.5 = 2 -0.25x = 2 Divide each side by '-0.25'. x = -8 Simplifying x = -8
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