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Simplifying 5(0.1 + x) = 0.8 + -2x (0.1 * 5 + x * 5) = 0.8 + -2x (0.5 + 5x) = 0.8 + -2x Solving 0.5 + 5x = 0.8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 0.5 + 5x + 2x = 0.8 + -2x + 2x Combine like terms: 5x + 2x = 7x 0.5 + 7x = 0.8 + -2x + 2x Combine like terms: -2x + 2x = 0 0.5 + 7x = 0.8 + 0 0.5 + 7x = 0.8 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 7x = 0.8 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 7x = 0.8 + -0.5 7x = 0.8 + -0.5 Combine like terms: 0.8 + -0.5 = 0.3 7x = 0.3 Divide each side by '7'. x = 0.04285714286 Simplifying x = 0.04285714286
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