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Simplifying 4.7x + -2.5 + 2.7 = 12.8 + -1.6x Reorder the terms: -2.5 + 2.7 + 4.7x = 12.8 + -1.6x Combine like terms: -2.5 + 2.7 = 0.2 0.2 + 4.7x = 12.8 + -1.6x Solving 0.2 + 4.7x = 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. 0.2 + 4.7x + 1.6x = 12.8 + -1.6x + 1.6x Combine like terms: 4.7x + 1.6x = 6.3x 0.2 + 6.3x = 12.8 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 0.2 + 6.3x = 12.8 + 0.0 0.2 + 6.3x = 12.8 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 6.3x = 12.8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 6.3x = 12.8 + -0.2 6.3x = 12.8 + -0.2 Combine like terms: 12.8 + -0.2 = 12.6 6.3x = 12.6 Divide each side by '6.3'. x = 2 Simplifying x = 2
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