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Simplifying 0.2x + 3.6 = 0.8x + -1.2 Reorder the terms: 3.6 + 0.2x = 0.8x + -1.2 Reorder the terms: 3.6 + 0.2x = -1.2 + 0.8x Solving 3.6 + 0.2x = -1.2 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. 3.6 + 0.2x + -0.8x = -1.2 + 0.8x + -0.8x Combine like terms: 0.2x + -0.8x = -0.6x 3.6 + -0.6x = -1.2 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 3.6 + -0.6x = -1.2 + 0.0 3.6 + -0.6x = -1.2 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -0.6x = -1.2 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -0.6x = -1.2 + -3.6 -0.6x = -1.2 + -3.6 Combine like terms: -1.2 + -3.6 = -4.8 -0.6x = -4.8 Divide each side by '-0.6'. x = 8 Simplifying x = 8
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