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Simplifying 0.5x + 15.4 = x + -7.7 Reorder the terms: 15.4 + 0.5x = x + -7.7 Reorder the terms: 15.4 + 0.5x = -7.7 + x Solving 15.4 + 0.5x = -7.7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15.4 + 0.5x + -1x = -7.7 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 15.4 + -0.5x = -7.7 + x + -1x Combine like terms: x + -1x = 0 15.4 + -0.5x = -7.7 + 0 15.4 + -0.5x = -7.7 Add '-15.4' to each side of the equation. 15.4 + -15.4 + -0.5x = -7.7 + -15.4 Combine like terms: 15.4 + -15.4 = 0.0 0.0 + -0.5x = -7.7 + -15.4 -0.5x = -7.7 + -15.4 Combine like terms: -7.7 + -15.4 = -23.1 -0.5x = -23.1 Divide each side by '-0.5'. x = 46.2 Simplifying x = 46.2
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