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Simplifying 0.4x + -2.6 = 1.6x + 2.7 Reorder the terms: -2.6 + 0.4x = 1.6x + 2.7 Reorder the terms: -2.6 + 0.4x = 2.7 + 1.6x Solving -2.6 + 0.4x = 2.7 + 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. -2.6 + 0.4x + -1.6x = 2.7 + 1.6x + -1.6x Combine like terms: 0.4x + -1.6x = -1.2x -2.6 + -1.2x = 2.7 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -2.6 + -1.2x = 2.7 + 0.0 -2.6 + -1.2x = 2.7 Add '2.6' to each side of the equation. -2.6 + 2.6 + -1.2x = 2.7 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -1.2x = 2.7 + 2.6 -1.2x = 2.7 + 2.6 Combine like terms: 2.7 + 2.6 = 5.3 -1.2x = 5.3 Divide each side by '-1.2'. x = -4.416666667 Simplifying x = -4.416666667
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