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Simplifying 0.8(0.1 + -2x) = -1.3x (0.1 * 0.8 + -2x * 0.8) = -1.3x (0.08 + -1.6x) = -1.3x Solving 0.08 + -1.6x = -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 0.08 + -1.6x + 1.3x = -1.3x + 1.3x Combine like terms: -1.6x + 1.3x = -0.3x 0.08 + -0.3x = -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 0.08 + -0.3x = 0.0 Add '-0.08' to each side of the equation. 0.08 + -0.08 + -0.3x = 0.0 + -0.08 Combine like terms: 0.08 + -0.08 = 0.00 0.00 + -0.3x = 0.0 + -0.08 -0.3x = 0.0 + -0.08 Combine like terms: 0.0 + -0.08 = -0.08 -0.3x = -0.08 Divide each side by '-0.3'. x = 0.2666666667 Simplifying x = 0.2666666667
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