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Simplifying 0.25x + 3 = 0.75x + -7 Reorder the terms: 3 + 0.25x = 0.75x + -7 Reorder the terms: 3 + 0.25x = -7 + 0.75x Solving 3 + 0.25x = -7 + 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. 3 + 0.25x + -0.75x = -7 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 3 + -0.5x = -7 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + -0.5x = -7 + 0.00 3 + -0.5x = -7 Add '-3' to each side of the equation. 3 + -3 + -0.5x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5x = -7 + -3 -0.5x = -7 + -3 Combine like terms: -7 + -3 = -10 -0.5x = -10 Divide each side by '-0.5'. x = 20 Simplifying x = 20
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