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Simplifying 0.3(15) + 0.05x = 20(x + 480) Multiply 0.3 * 15 4.5 + 0.05x = 20(x + 480) Reorder the terms: 4.5 + 0.05x = 20(480 + x) 4.5 + 0.05x = (480 * 20 + x * 20) 4.5 + 0.05x = (9600 + 20x) Solving 4.5 + 0.05x = 9600 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 4.5 + 0.05x + -20x = 9600 + 20x + -20x Combine like terms: 0.05x + -20x = -19.95x 4.5 + -19.95x = 9600 + 20x + -20x Combine like terms: 20x + -20x = 0 4.5 + -19.95x = 9600 + 0 4.5 + -19.95x = 9600 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -19.95x = 9600 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -19.95x = 9600 + -4.5 -19.95x = 9600 + -4.5 Combine like terms: 9600 + -4.5 = 9595.5 -19.95x = 9595.5 Divide each side by '-19.95'. x = -480.9774436 Simplifying x = -480.9774436
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