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Simplifying 0.25(x + 8) = 2x + -0.5 Reorder the terms: 0.25(8 + x) = 2x + -0.5 (8 * 0.25 + x * 0.25) = 2x + -0.5 (2 + 0.25x) = 2x + -0.5 Reorder the terms: 2 + 0.25x = -0.5 + 2x Solving 2 + 0.25x = -0.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 0.25x + -2x = -0.5 + 2x + -2x Combine like terms: 0.25x + -2x = -1.75x 2 + -1.75x = -0.5 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -1.75x = -0.5 + 0 2 + -1.75x = -0.5 Add '-2' to each side of the equation. 2 + -2 + -1.75x = -0.5 + -2 Combine like terms: 2 + -2 = 0 0 + -1.75x = -0.5 + -2 -1.75x = -0.5 + -2 Combine like terms: -0.5 + -2 = -2.5 -1.75x = -2.5 Divide each side by '-1.75'. x = 1.428571429 Simplifying x = 1.428571429
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