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Simplifying (0.037) * x + 0.079(1) = 0.065(x + 1) Multiply 0.079 * 1 0.037x + 0.079 = 0.065(x + 1) Reorder the terms: 0.079 + 0.037x = 0.065(x + 1) Reorder the terms: 0.079 + 0.037x = 0.065(1 + x) 0.079 + 0.037x = (1 * 0.065 + x * 0.065) 0.079 + 0.037x = (0.065 + 0.065x) Solving 0.079 + 0.037x = 0.065 + 0.065x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.065x' to each side of the equation. 0.079 + 0.037x + -0.065x = 0.065 + 0.065x + -0.065x Combine like terms: 0.037x + -0.065x = -0.028x 0.079 + -0.028x = 0.065 + 0.065x + -0.065x Combine like terms: 0.065x + -0.065x = 0.000 0.079 + -0.028x = 0.065 + 0.000 0.079 + -0.028x = 0.065 Add '-0.079' to each side of the equation. 0.079 + -0.079 + -0.028x = 0.065 + -0.079 Combine like terms: 0.079 + -0.079 = 0.000 0.000 + -0.028x = 0.065 + -0.079 -0.028x = 0.065 + -0.079 Combine like terms: 0.065 + -0.079 = -0.014 -0.028x = -0.014 Divide each side by '-0.028'. x = 0.5 Simplifying x = 0.5
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