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Simplifying 1 = (0.075 * 0.90) + (0.065 * 1) + (x * 1.50) Multiply 0.075 * 0.90 1 = (0.0675) + (0.065 * 1) + (x * 1.50) 1 = 0.0675 + (0.065 * 1) + (x * 1.50) Multiply 0.065 * 1 1 = 0.0675 + (0.065) + (x * 1.50) 1 = 0.0675 + 0.065 + (x * 1.50) Reorder the terms for easier multiplication: 1 = 0.0675 + 0.065 + (1.50x) Combine like terms: 0.0675 + 0.065 = 0.1325 1 = 0.1325 + (1.50x) Solving 1 = 0.1325 + (1.50x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-1.50x)' to each side of the equation. 1 + (-1.50x) = 0.1325 + (1.50x) + (-1.50x) Combine like terms: (1.50x) + (-1.50x) = 0.00 1 + (-1.50x) = 0.1325 + 0.00 1 + (-1.50x) = 0.1325 Add '-1' to each side of the equation. 1 + -1 + (-1.50x) = 0.1325 + -1 Combine like terms: 1 + -1 = 0 0 + (-1.50x) = 0.1325 + -1 (-1.50x) = 0.1325 + -1 Combine like terms: 0.1325 + -1 = -0.8675 (-1.50x) = -0.8675 Divide each side by '-1.50'. x = 0.5783333333 Simplifying x = 0.5783333333
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