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Simplifying 0.25(x + 8) = 0.75x + -6 Reorder the terms: 0.25(8 + x) = 0.75x + -6 (8 * 0.25 + x * 0.25) = 0.75x + -6 (2 + 0.25x) = 0.75x + -6 Reorder the terms: 2 + 0.25x = -6 + 0.75x Solving 2 + 0.25x = -6 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 2 + 0.25x + -0.75x = -6 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 2 + -0.5x = -6 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 2 + -0.5x = -6 + 0.00 2 + -0.5x = -6 Add '-2' to each side of the equation. 2 + -2 + -0.5x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -0.5x = -6 + -2 -0.5x = -6 + -2 Combine like terms: -6 + -2 = -8 -0.5x = -8 Divide each side by '-0.5'. x = 16 Simplifying x = 16
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