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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 = 1x 1x = -1.2 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 1x = -1.2 + 0.0 1x = -1.2 Divide each side by '1'. x = -1.2 Simplifying x = -1.2
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