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Simplifying 0.4x + 1.2 = -3x + -1.8 Reorder the terms: 1.2 + 0.4x = -3x + -1.8 Reorder the terms: 1.2 + 0.4x = -1.8 + -3x Solving 1.2 + 0.4x = -1.8 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1.2 + 0.4x + 3x = -1.8 + -3x + 3x Combine like terms: 0.4x + 3x = 3.4x 1.2 + 3.4x = -1.8 + -3x + 3x Combine like terms: -3x + 3x = 0 1.2 + 3.4x = -1.8 + 0 1.2 + 3.4x = -1.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 3.4x = -1.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 3.4x = -1.8 + -1.2 3.4x = -1.8 + -1.2 Combine like terms: -1.8 + -1.2 = -3 3.4x = -3 Divide each side by '3.4'. x = -0.8823529412 Simplifying x = -0.8823529412
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