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Simplifying 1.1x + 3.8 = 0.4x + -1.52 Reorder the terms: 3.8 + 1.1x = 0.4x + -1.52 Reorder the terms: 3.8 + 1.1x = -1.52 + 0.4x Solving 3.8 + 1.1x = -1.52 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 3.8 + 1.1x + -0.4x = -1.52 + 0.4x + -0.4x Combine like terms: 1.1x + -0.4x = 0.7x 3.8 + 0.7x = -1.52 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 3.8 + 0.7x = -1.52 + 0.0 3.8 + 0.7x = -1.52 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 0.7x = -1.52 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 0.7x = -1.52 + -3.8 0.7x = -1.52 + -3.8 Combine like terms: -1.52 + -3.8 = -5.32 0.7x = -5.32 Divide each side by '0.7'. x = -7.6 Simplifying x = -7.6
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