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Simplifying 5.4x + 2 = 3.7x + -5.14 Reorder the terms: 2 + 5.4x = 3.7x + -5.14 Reorder the terms: 2 + 5.4x = -5.14 + 3.7x Solving 2 + 5.4x = -5.14 + 3.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.7x' to each side of the equation. 2 + 5.4x + -3.7x = -5.14 + 3.7x + -3.7x Combine like terms: 5.4x + -3.7x = 1.7x 2 + 1.7x = -5.14 + 3.7x + -3.7x Combine like terms: 3.7x + -3.7x = 0.0 2 + 1.7x = -5.14 + 0.0 2 + 1.7x = -5.14 Add '-2' to each side of the equation. 2 + -2 + 1.7x = -5.14 + -2 Combine like terms: 2 + -2 = 0 0 + 1.7x = -5.14 + -2 1.7x = -5.14 + -2 Combine like terms: -5.14 + -2 = -7.14 1.7x = -7.14 Divide each side by '1.7'. x = -4.2 Simplifying x = -4.2
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