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Simplifying 2(0.8x + -0.3(x + -0.2)) = 0.2(0.6x + 0.25) Reorder the terms: 2(0.8x + -0.3(-0.2 + x)) = 0.2(0.6x + 0.25) 2(0.8x + (-0.2 * -0.3 + x * -0.3)) = 0.2(0.6x + 0.25) 2(0.8x + (0.06 + -0.3x)) = 0.2(0.6x + 0.25) Reorder the terms: 2(0.06 + 0.8x + -0.3x) = 0.2(0.6x + 0.25) Combine like terms: 0.8x + -0.3x = 0.5x 2(0.06 + 0.5x) = 0.2(0.6x + 0.25) (0.06 * 2 + 0.5x * 2) = 0.2(0.6x + 0.25) (0.12 + 1x) = 0.2(0.6x + 0.25) Reorder the terms: 0.12 + 1x = 0.2(0.25 + 0.6x) 0.12 + 1x = (0.25 * 0.2 + 0.6x * 0.2) 0.12 + 1x = (0.05 + 0.12x) Solving 0.12 + 1x = 0.05 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 0.12 + 1x + -0.12x = 0.05 + 0.12x + -0.12x Combine like terms: 1x + -0.12x = 0.88x 0.12 + 0.88x = 0.05 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 0.12 + 0.88x = 0.05 + 0.00 0.12 + 0.88x = 0.05 Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.88x = 0.05 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.88x = 0.05 + -0.12 0.88x = 0.05 + -0.12 Combine like terms: 0.05 + -0.12 = -0.07 0.88x = -0.07 Divide each side by '0.88'. x = -0.07954545455 Simplifying x = -0.07954545455
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