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Simplifying 5.3x + -15.4 + 1.7x = 5.2 + 8x Reorder the terms: -15.4 + 5.3x + 1.7x = 5.2 + 8x Combine like terms: 5.3x + 1.7x = 7x -15.4 + 7x = 5.2 + 8x Solving -15.4 + 7x = 5.2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15.4 + 7x + -8x = 5.2 + 8x + -8x Combine like terms: 7x + -8x = -1x -15.4 + -1x = 5.2 + 8x + -8x Combine like terms: 8x + -8x = 0 -15.4 + -1x = 5.2 + 0 -15.4 + -1x = 5.2 Add '15.4' to each side of the equation. -15.4 + 15.4 + -1x = 5.2 + 15.4 Combine like terms: -15.4 + 15.4 = 0.0 0.0 + -1x = 5.2 + 15.4 -1x = 5.2 + 15.4 Combine like terms: 5.2 + 15.4 = 20.6 -1x = 20.6 Divide each side by '-1'. x = -20.6 Simplifying x = -20.6
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