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Simplifying 0.4x + 3.7 = 0.3x + 2.2 Reorder the terms: 3.7 + 0.4x = 0.3x + 2.2 Reorder the terms: 3.7 + 0.4x = 2.2 + 0.3x Solving 3.7 + 0.4x = 2.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 3.7 + 0.4x + -0.3x = 2.2 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 3.7 + 0.1x = 2.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 3.7 + 0.1x = 2.2 + 0.0 3.7 + 0.1x = 2.2 Add '-3.7' to each side of the equation. 3.7 + -3.7 + 0.1x = 2.2 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + 0.1x = 2.2 + -3.7 0.1x = 2.2 + -3.7 Combine like terms: 2.2 + -3.7 = -1.5 0.1x = -1.5 Divide each side by '0.1'. x = -15 Simplifying x = -15
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