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Simplifying -7.482 + 5.46x = 5.2x + -4.7 + -3.9 Reorder the terms: -7.482 + 5.46x = -4.7 + -3.9 + 5.2x Combine like terms: -4.7 + -3.9 = -8.6 -7.482 + 5.46x = -8.6 + 5.2x Solving -7.482 + 5.46x = -8.6 + 5.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.2x' to each side of the equation. -7.482 + 5.46x + -5.2x = -8.6 + 5.2x + -5.2x Combine like terms: 5.46x + -5.2x = 0.26x -7.482 + 0.26x = -8.6 + 5.2x + -5.2x Combine like terms: 5.2x + -5.2x = 0.0 -7.482 + 0.26x = -8.6 + 0.0 -7.482 + 0.26x = -8.6 Add '7.482' to each side of the equation. -7.482 + 7.482 + 0.26x = -8.6 + 7.482 Combine like terms: -7.482 + 7.482 = 0.000 0.000 + 0.26x = -8.6 + 7.482 0.26x = -8.6 + 7.482 Combine like terms: -8.6 + 7.482 = -1.118 0.26x = -1.118 Divide each side by '0.26'. x = -4.3 Simplifying x = -4.3
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