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Simplifying 6 + -0.75x + 0.3 = 0.5x + 5 Reorder the terms: 6 + 0.3 + -0.75x = 0.5x + 5 Combine like terms: 6 + 0.3 = 6.3 6.3 + -0.75x = 0.5x + 5 Reorder the terms: 6.3 + -0.75x = 5 + 0.5x Solving 6.3 + -0.75x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6.3 + -0.75x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: -0.75x + -0.5x = -1.25x 6.3 + -1.25x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6.3 + -1.25x = 5 + 0.0 6.3 + -1.25x = 5 Add '-6.3' to each side of the equation. 6.3 + -6.3 + -1.25x = 5 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -1.25x = 5 + -6.3 -1.25x = 5 + -6.3 Combine like terms: 5 + -6.3 = -1.3 -1.25x = -1.3 Divide each side by '-1.25'. x = 1.04 Simplifying x = 1.04
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