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Simplifying 0.040x + 0.05(14 + -1x) = 0.10(49) 0.040x + (14 * 0.05 + -1x * 0.05) = 0.10(49) 0.040x + (0.7 + -0.05x) = 0.10(49) Reorder the terms: 0.7 + 0.040x + -0.05x = 0.10(49) Combine like terms: 0.040x + -0.05x = -0.01x 0.7 + -0.01x = 0.10(49) Multiply 0.10 * 49 0.7 + -0.01x = 4.9 Solving 0.7 + -0.01x = 4.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.01x = 4.9 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.01x = 4.9 + -0.7 -0.01x = 4.9 + -0.7 Combine like terms: 4.9 + -0.7 = 4.2 -0.01x = 4.2 Divide each side by '-0.01'. x = -420 Simplifying x = -420
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