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Simplifying 0.4x + 0.45(19) = 0.41(x + 19) Multiply 0.45 * 19 0.4x + 8.55 = 0.41(x + 19) Reorder the terms: 8.55 + 0.4x = 0.41(x + 19) Reorder the terms: 8.55 + 0.4x = 0.41(19 + x) 8.55 + 0.4x = (19 * 0.41 + x * 0.41) 8.55 + 0.4x = (7.79 + 0.41x) Solving 8.55 + 0.4x = 7.79 + 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. 8.55 + 0.4x + -0.41x = 7.79 + 0.41x + -0.41x Combine like terms: 0.4x + -0.41x = -0.01x 8.55 + -0.01x = 7.79 + 0.41x + -0.41x Combine like terms: 0.41x + -0.41x = 0.00 8.55 + -0.01x = 7.79 + 0.00 8.55 + -0.01x = 7.79 Add '-8.55' to each side of the equation. 8.55 + -8.55 + -0.01x = 7.79 + -8.55 Combine like terms: 8.55 + -8.55 = 0.00 0.00 + -0.01x = 7.79 + -8.55 -0.01x = 7.79 + -8.55 Combine like terms: 7.79 + -8.55 = -0.76 -0.01x = -0.76 Divide each side by '-0.01'. x = 76 Simplifying x = 76
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