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Simplifying 0.6x + -0.1(20 + -2x) = -0.2(x + -5) 0.6x + (20 * -0.1 + -2x * -0.1) = -0.2(x + -5) 0.6x + (-2 + 0.2x) = -0.2(x + -5) Reorder the terms: -2 + 0.6x + 0.2x = -0.2(x + -5) Combine like terms: 0.6x + 0.2x = 0.8x -2 + 0.8x = -0.2(x + -5) Reorder the terms: -2 + 0.8x = -0.2(-5 + x) -2 + 0.8x = (-5 * -0.2 + x * -0.2) -2 + 0.8x = (1 + -0.2x) Solving -2 + 0.8x = 1 + -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. -2 + 0.8x + 0.2x = 1 + -0.2x + 0.2x Combine like terms: 0.8x + 0.2x = 1x -2 + 1x = 1 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 -2 + 1x = 1 + 0.0 -2 + 1x = 1 Add '2' to each side of the equation. -2 + 2 + 1x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 1 + 2 1x = 1 + 2 Combine like terms: 1 + 2 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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