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Simplifying 5.4x + -15.1 + 1.6x = 6.1 + 8x Reorder the terms: -15.1 + 5.4x + 1.6x = 6.1 + 8x Combine like terms: 5.4x + 1.6x = 7x -15.1 + 7x = 6.1 + 8x Solving -15.1 + 7x = 6.1 + 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. -15.1 + 7x + -8x = 6.1 + 8x + -8x Combine like terms: 7x + -8x = -1x -15.1 + -1x = 6.1 + 8x + -8x Combine like terms: 8x + -8x = 0 -15.1 + -1x = 6.1 + 0 -15.1 + -1x = 6.1 Add '15.1' to each side of the equation. -15.1 + 15.1 + -1x = 6.1 + 15.1 Combine like terms: -15.1 + 15.1 = 0.0 0.0 + -1x = 6.1 + 15.1 -1x = 6.1 + 15.1 Combine like terms: 6.1 + 15.1 = 21.2 -1x = 21.2 Divide each side by '-1'. x = -21.2 Simplifying x = -21.2
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