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Simplifying 0.25(x + 24) = 0.5 + 34 + 2x Reorder the terms: 0.25(24 + x) = 0.5 + 34 + 2x (24 * 0.25 + x * 0.25) = 0.5 + 34 + 2x (6 + 0.25x) = 0.5 + 34 + 2x Combine like terms: 0.5 + 34 = 34.5 6 + 0.25x = 34.5 + 2x Solving 6 + 0.25x = 34.5 + 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 = 34.5 + 2x + -2x Combine like terms: 0.25x + -2x = -1.75x 6 + -1.75x = 34.5 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1.75x = 34.5 + 0 6 + -1.75x = 34.5 Add '-6' to each side of the equation. 6 + -6 + -1.75x = 34.5 + -6 Combine like terms: 6 + -6 = 0 0 + -1.75x = 34.5 + -6 -1.75x = 34.5 + -6 Combine like terms: 34.5 + -6 = 28.5 -1.75x = 28.5 Divide each side by '-1.75'. x = -16.28571429 Simplifying x = -16.28571429
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