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Simplifying 4.5x + -6.1 + 7x = 7.5x + -17.3 Reorder the terms: -6.1 + 4.5x + 7x = 7.5x + -17.3 Combine like terms: 4.5x + 7x = 11.5x -6.1 + 11.5x = 7.5x + -17.3 Reorder the terms: -6.1 + 11.5x = -17.3 + 7.5x Solving -6.1 + 11.5x = -17.3 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -6.1 + 11.5x + -7.5x = -17.3 + 7.5x + -7.5x Combine like terms: 11.5x + -7.5x = 4x -6.1 + 4x = -17.3 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -6.1 + 4x = -17.3 + 0.0 -6.1 + 4x = -17.3 Add '6.1' to each side of the equation. -6.1 + 6.1 + 4x = -17.3 + 6.1 Combine like terms: -6.1 + 6.1 = 0.0 0.0 + 4x = -17.3 + 6.1 4x = -17.3 + 6.1 Combine like terms: -17.3 + 6.1 = -11.2 4x = -11.2 Divide each side by '4'. x = -2.8 Simplifying x = -2.8
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