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Simplifying 52.4 = 0.8x + -10 Reorder the terms: 52.4 = -10 + 0.8x Solving 52.4 = -10 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 52.4 + -0.8x = -10 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 52.4 + -0.8x = -10 + 0.0 52.4 + -0.8x = -10 Add '-52.4' to each side of the equation. 52.4 + -52.4 + -0.8x = -10 + -52.4 Combine like terms: 52.4 + -52.4 = 0.0 0.0 + -0.8x = -10 + -52.4 -0.8x = -10 + -52.4 Combine like terms: -10 + -52.4 = -62.4 -0.8x = -62.4 Divide each side by '-0.8'. x = 78 Simplifying x = 78
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