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Simplifying 4.7x + -2.5 + 2.7x = 12.8 + -1.6x Reorder the terms: -2.5 + 4.7x + 2.7x = 12.8 + -1.6x Combine like terms: 4.7x + 2.7x = 7.4x -2.5 + 7.4x = 12.8 + -1.6x Solving -2.5 + 7.4x = 12.8 + -1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6x' to each side of the equation. -2.5 + 7.4x + 1.6x = 12.8 + -1.6x + 1.6x Combine like terms: 7.4x + 1.6x = 9x -2.5 + 9x = 12.8 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 -2.5 + 9x = 12.8 + 0.0 -2.5 + 9x = 12.8 Add '2.5' to each side of the equation. -2.5 + 2.5 + 9x = 12.8 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 9x = 12.8 + 2.5 9x = 12.8 + 2.5 Combine like terms: 12.8 + 2.5 = 15.3 9x = 15.3 Divide each side by '9'. x = 1.7 Simplifying x = 1.7
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