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Simplifying -4.0x + 2.7 + -1.6 = -4.6x + 2.7 Reorder the terms: 2.7 + -1.6 + -4.0x = -4.6x + 2.7 Combine like terms: 2.7 + -1.6 = 1.1 1.1 + -4.0x = -4.6x + 2.7 Reorder the terms: 1.1 + -4.0x = 2.7 + -4.6x Solving 1.1 + -4.0x = 2.7 + -4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6x' to each side of the equation. 1.1 + -4.0x + 4.6x = 2.7 + -4.6x + 4.6x Combine like terms: -4.0x + 4.6x = 0.6x 1.1 + 0.6x = 2.7 + -4.6x + 4.6x Combine like terms: -4.6x + 4.6x = 0.0 1.1 + 0.6x = 2.7 + 0.0 1.1 + 0.6x = 2.7 Add '-1.1' to each side of the equation. 1.1 + -1.1 + 0.6x = 2.7 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 0.6x = 2.7 + -1.1 0.6x = 2.7 + -1.1 Combine like terms: 2.7 + -1.1 = 1.6 0.6x = 1.6 Divide each side by '0.6'. x = 2.666666667 Simplifying x = 2.666666667
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