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Simplifying 0.5(x + 4) = 0.25(x + -8) Reorder the terms: 0.5(4 + x) = 0.25(x + -8) (4 * 0.5 + x * 0.5) = 0.25(x + -8) (2 + 0.5x) = 0.25(x + -8) Reorder the terms: 2 + 0.5x = 0.25(-8 + x) 2 + 0.5x = (-8 * 0.25 + x * 0.25) 2 + 0.5x = (-2 + 0.25x) Solving 2 + 0.5x = -2 + 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. 2 + 0.5x + -0.25x = -2 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x 2 + 0.25x = -2 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 2 + 0.25x = -2 + 0.00 2 + 0.25x = -2 Add '-2' to each side of the equation. 2 + -2 + 0.25x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 0.25x = -2 + -2 0.25x = -2 + -2 Combine like terms: -2 + -2 = -4 0.25x = -4 Divide each side by '0.25'. x = -16 Simplifying x = -16
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