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Simplifying 0.40(x) + 0.20(12) = 0.41(x + 17) Multiply 0.20 * 12 0.40x + 2.4 = 0.41(x + 17) Reorder the terms: 2.4 + 0.40x = 0.41(x + 17) Reorder the terms: 2.4 + 0.40x = 0.41(17 + x) 2.4 + 0.40x = (17 * 0.41 + x * 0.41) 2.4 + 0.40x = (6.97 + 0.41x) Solving 2.4 + 0.40x = 6.97 + 0.41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.41x' to each side of the equation. 2.4 + 0.40x + -0.41x = 6.97 + 0.41x + -0.41x Combine like terms: 0.40x + -0.41x = -0.01x 2.4 + -0.01x = 6.97 + 0.41x + -0.41x Combine like terms: 0.41x + -0.41x = 0.00 2.4 + -0.01x = 6.97 + 0.00 2.4 + -0.01x = 6.97 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -0.01x = 6.97 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -0.01x = 6.97 + -2.4 -0.01x = 6.97 + -2.4 Combine like terms: 6.97 + -2.4 = 4.57 -0.01x = 4.57 Divide each side by '-0.01'. x = -457 Simplifying x = -457
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