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Simplifying 4x + 1.2 + -2.4x = 0.4x + -4.2 Reorder the terms: 1.2 + 4x + -2.4x = 0.4x + -4.2 Combine like terms: 4x + -2.4x = 1.6x 1.2 + 1.6x = 0.4x + -4.2 Reorder the terms: 1.2 + 1.6x = -4.2 + 0.4x Solving 1.2 + 1.6x = -4.2 + 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. 1.2 + 1.6x + -0.4x = -4.2 + 0.4x + -0.4x Combine like terms: 1.6x + -0.4x = 1.2x 1.2 + 1.2x = -4.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 1.2 + 1.2x = -4.2 + 0.0 1.2 + 1.2x = -4.2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 1.2x = -4.2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 1.2x = -4.2 + -1.2 1.2x = -4.2 + -1.2 Combine like terms: -4.2 + -1.2 = -5.4 1.2x = -5.4 Divide each side by '1.2'. x = -4.5 Simplifying x = -4.5
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