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Simplifying -0.25(x + -8) + 0.50(x + 2) = x + 0 Reorder the terms: -0.25(-8 + x) + 0.50(x + 2) = x + 0 (-8 * -0.25 + x * -0.25) + 0.50(x + 2) = x + 0 (2 + -0.25x) + 0.50(x + 2) = x + 0 Reorder the terms: 2 + -0.25x + 0.50(2 + x) = x + 0 2 + -0.25x + (2 * 0.50 + x * 0.50) = x + 0 2 + -0.25x + (1 + 0.50x) = x + 0 Reorder the terms: 2 + 1 + -0.25x + 0.50x = x + 0 Combine like terms: 2 + 1 = 3 3 + -0.25x + 0.50x = x + 0 Combine like terms: -0.25x + 0.50x = 0.25x 3 + 0.25x = x + 0 Reorder the terms: 3 + 0.25x = 0 + x Remove the zero: 3 + 0.25x = x Solving 3 + 0.25x = x 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. 3 + 0.25x + -1x = x + -1x Combine like terms: 0.25x + -1x = -0.75x 3 + -0.75x = x + -1x Combine like terms: x + -1x = 0 3 + -0.75x = 0 Add '-3' to each side of the equation. 3 + -3 + -0.75x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -0.75x = 0 + -3 -0.75x = 0 + -3 Combine like terms: 0 + -3 = -3 -0.75x = -3 Divide each side by '-0.75'. x = 4 Simplifying x = 4
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