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Simplifying 0.2x + 4.2 = 1.4x + -1.8 Reorder the terms: 4.2 + 0.2x = 1.4x + -1.8 Reorder the terms: 4.2 + 0.2x = -1.8 + 1.4x Solving 4.2 + 0.2x = -1.8 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. 4.2 + 0.2x + -1.4x = -1.8 + 1.4x + -1.4x Combine like terms: 0.2x + -1.4x = -1.2x 4.2 + -1.2x = -1.8 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 4.2 + -1.2x = -1.8 + 0.0 4.2 + -1.2x = -1.8 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -1.2x = -1.8 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -1.2x = -1.8 + -4.2 -1.2x = -1.8 + -4.2 Combine like terms: -1.8 + -4.2 = -6 -1.2x = -6 Divide each side by '-1.2'. x = 5 Simplifying x = 5
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