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Simplifying x + -1.4x + -2.4 = 0.4x + 1.2 Reorder the terms: -2.4 + x + -1.4x = 0.4x + 1.2 Combine like terms: x + -1.4x = -0.4x -2.4 + -0.4x = 0.4x + 1.2 Reorder the terms: -2.4 + -0.4x = 1.2 + 0.4x Solving -2.4 + -0.4x = 1.2 + 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. -2.4 + -0.4x + -0.4x = 1.2 + 0.4x + -0.4x Combine like terms: -0.4x + -0.4x = -0.8x -2.4 + -0.8x = 1.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -2.4 + -0.8x = 1.2 + 0.0 -2.4 + -0.8x = 1.2 Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.8x = 1.2 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.8x = 1.2 + 2.4 -0.8x = 1.2 + 2.4 Combine like terms: 1.2 + 2.4 = 3.6 -0.8x = 3.6 Divide each side by '-0.8'. x = -4.5 Simplifying x = -4.5
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