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Simplifying -0.6x + 1.4x = 0.2(x + 6) Combine like terms: -0.6x + 1.4x = 0.8x 0.8x = 0.2(x + 6) Reorder the terms: 0.8x = 0.2(6 + x) 0.8x = (6 * 0.2 + x * 0.2) 0.8x = (1.2 + 0.2x) Solving 0.8x = 1.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 0.8x + -0.2x = 1.2 + 0.2x + -0.2x Combine like terms: 0.8x + -0.2x = 0.6x 0.6x = 1.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.6x = 1.2 + 0.0 0.6x = 1.2 Divide each side by '0.6'. x = 2 Simplifying x = 2
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