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Simplifying 0.5x + 10 = -0.25x + 54 Reorder the terms: 10 + 0.5x = -0.25x + 54 Reorder the terms: 10 + 0.5x = 54 + -0.25x Solving 10 + 0.5x = 54 + -0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.25x' to each side of the equation. 10 + 0.5x + 0.25x = 54 + -0.25x + 0.25x Combine like terms: 0.5x + 0.25x = 0.75x 10 + 0.75x = 54 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 10 + 0.75x = 54 + 0.00 10 + 0.75x = 54 Add '-10' to each side of the equation. 10 + -10 + 0.75x = 54 + -10 Combine like terms: 10 + -10 = 0 0 + 0.75x = 54 + -10 0.75x = 54 + -10 Combine like terms: 54 + -10 = 44 0.75x = 44 Divide each side by '0.75'. x = 58.66666667 Simplifying x = 58.66666667
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