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Simplifying 10 + -0.3(16 + -1x) = (1 + -0.08)(12 + -0.2x) 10 + (16 * -0.3 + -1x * -0.3) = (1 + -0.08)(12 + -0.2x) 10 + (-4.8 + 0.3x) = (1 + -0.08)(12 + -0.2x) Combine like terms: 10 + -4.8 = 5.2 5.2 + 0.3x = (1 + -0.08)(12 + -0.2x) Combine like terms: 1 + -0.08 = 0.92 5.2 + 0.3x = (0.92)(12 + -0.2x) 5.2 + 0.3x = (12 * 0.92 + -0.2x * 0.92) 5.2 + 0.3x = (11.04 + -0.184x) Solving 5.2 + 0.3x = 11.04 + -0.184x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.184x' to each side of the equation. 5.2 + 0.3x + 0.184x = 11.04 + -0.184x + 0.184x Combine like terms: 0.3x + 0.184x = 0.484x 5.2 + 0.484x = 11.04 + -0.184x + 0.184x Combine like terms: -0.184x + 0.184x = 0.000 5.2 + 0.484x = 11.04 + 0.000 5.2 + 0.484x = 11.04 Add '-5.2' to each side of the equation. 5.2 + -5.2 + 0.484x = 11.04 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 0.484x = 11.04 + -5.2 0.484x = 11.04 + -5.2 Combine like terms: 11.04 + -5.2 = 5.84 0.484x = 5.84 Divide each side by '0.484'. x = 12.0661157 Simplifying x = 12.0661157
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