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Simplifying 0.5(x + -3) = 0.25(x + 1) Reorder the terms: 0.5(-3 + x) = 0.25(x + 1) (-3 * 0.5 + x * 0.5) = 0.25(x + 1) (-1.5 + 0.5x) = 0.25(x + 1) Reorder the terms: -1.5 + 0.5x = 0.25(1 + x) -1.5 + 0.5x = (1 * 0.25 + x * 0.25) -1.5 + 0.5x = (0.25 + 0.25x) Solving -1.5 + 0.5x = 0.25 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -1.5 + 0.5x + -0.25x = 0.25 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x -1.5 + 0.25x = 0.25 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -1.5 + 0.25x = 0.25 + 0.00 -1.5 + 0.25x = 0.25 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.25x = 0.25 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.25x = 0.25 + 1.5 0.25x = 0.25 + 1.5 Combine like terms: 0.25 + 1.5 = 1.75 0.25x = 1.75 Divide each side by '0.25'. x = 7 Simplifying x = 7
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