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Simplifying 2x + -0.5x + 0.25(x + 1) = 6x Reorder the terms: 2x + -0.5x + 0.25(1 + x) = 6x 2x + -0.5x + (1 * 0.25 + x * 0.25) = 6x 2x + -0.5x + (0.25 + 0.25x) = 6x Reorder the terms: 0.25 + 2x + -0.5x + 0.25x = 6x Combine like terms: 2x + -0.5x = 1.5x 0.25 + 1.5x + 0.25x = 6x Combine like terms: 1.5x + 0.25x = 1.75x 0.25 + 1.75x = 6x Solving 0.25 + 1.75x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0.25 + 1.75x + -6x = 6x + -6x Combine like terms: 1.75x + -6x = -4.25x 0.25 + -4.25x = 6x + -6x Combine like terms: 6x + -6x = 0 0.25 + -4.25x = 0 Add '-0.25' to each side of the equation. 0.25 + -0.25 + -4.25x = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -4.25x = 0 + -0.25 -4.25x = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -4.25x = -0.25 Divide each side by '-4.25'. x = 0.05882352941 Simplifying x = 0.05882352941
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