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Simplifying 0.03x + 0.55(95 + -1x) = 0.45(95) 0.03x + (95 * 0.55 + -1x * 0.55) = 0.45(95) 0.03x + (52.25 + -0.55x) = 0.45(95) Reorder the terms: 52.25 + 0.03x + -0.55x = 0.45(95) Combine like terms: 0.03x + -0.55x = -0.52x 52.25 + -0.52x = 0.45(95) Multiply 0.45 * 95 52.25 + -0.52x = 42.75 Solving 52.25 + -0.52x = 42.75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52.25' to each side of the equation. 52.25 + -52.25 + -0.52x = 42.75 + -52.25 Combine like terms: 52.25 + -52.25 = 0.00 0.00 + -0.52x = 42.75 + -52.25 -0.52x = 42.75 + -52.25 Combine like terms: 42.75 + -52.25 = -9.5 -0.52x = -9.5 Divide each side by '-0.52'. x = 18.26923077 Simplifying x = 18.26923077
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