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Simplifying 230x + 48 = 400 + -30.5x Reorder the terms: 48 + 230x = 400 + -30.5x Solving 48 + 230x = 400 + -30.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30.5x' to each side of the equation. 48 + 230x + 30.5x = 400 + -30.5x + 30.5x Combine like terms: 230x + 30.5x = 260.5x 48 + 260.5x = 400 + -30.5x + 30.5x Combine like terms: -30.5x + 30.5x = 0.0 48 + 260.5x = 400 + 0.0 48 + 260.5x = 400 Add '-48' to each side of the equation. 48 + -48 + 260.5x = 400 + -48 Combine like terms: 48 + -48 = 0 0 + 260.5x = 400 + -48 260.5x = 400 + -48 Combine like terms: 400 + -48 = 352 260.5x = 352 Divide each side by '260.5'. x = 1.351247601 Simplifying x = 1.351247601
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