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Simplifying 0.25x + 6 = 2x + -5 Reorder the terms: 6 + 0.25x = 2x + -5 Reorder the terms: 6 + 0.25x = -5 + 2x Solving 6 + 0.25x = -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. 6 + 0.25x + -2x = -5 + 2x + -2x Combine like terms: 0.25x + -2x = -1.75x 6 + -1.75x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1.75x = -5 + 0 6 + -1.75x = -5 Add '-6' to each side of the equation. 6 + -6 + -1.75x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -1.75x = -5 + -6 -1.75x = -5 + -6 Combine like terms: -5 + -6 = -11 -1.75x = -11 Divide each side by '-1.75'. x = 6.285714286 Simplifying x = 6.285714286
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