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Simplifying 0.6x + 0.8 = 0.2(x + 8) Reorder the terms: 0.8 + 0.6x = 0.2(x + 8) Reorder the terms: 0.8 + 0.6x = 0.2(8 + x) 0.8 + 0.6x = (8 * 0.2 + x * 0.2) 0.8 + 0.6x = (1.6 + 0.2x) Solving 0.8 + 0.6x = 1.6 + 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. 0.8 + 0.6x + -0.2x = 1.6 + 0.2x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x 0.8 + 0.4x = 1.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 0.8 + 0.4x = 1.6 + 0.0 0.8 + 0.4x = 1.6 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.4x = 1.6 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.4x = 1.6 + -0.8 0.4x = 1.6 + -0.8 Combine like terms: 1.6 + -0.8 = 0.8 0.4x = 0.8 Divide each side by '0.4'. x = 2 Simplifying x = 2
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