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Simplifying -0.1(20) + 0.8x = 0.6(20 + x) Multiply -0.1 * 20 -2 + 0.8x = 0.6(20 + x) -2 + 0.8x = (20 * 0.6 + x * 0.6) -2 + 0.8x = (12 + 0.6x) Solving -2 + 0.8x = 12 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. -2 + 0.8x + -0.6x = 12 + 0.6x + -0.6x Combine like terms: 0.8x + -0.6x = 0.2x -2 + 0.2x = 12 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -2 + 0.2x = 12 + 0.0 -2 + 0.2x = 12 Add '2' to each side of the equation. -2 + 2 + 0.2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 0.2x = 12 + 2 0.2x = 12 + 2 Combine like terms: 12 + 2 = 14 0.2x = 14 Divide each side by '0.2'. x = 70 Simplifying x = 70
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