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Simplifying 513 = (3x + 20) + 5(0.65x) + (0.5x) Reorder the terms: 513 = (20 + 3x) + 5(0.65x) + (0.5x) Remove parenthesis around (20 + 3x) 513 = 20 + 3x + 5(0.65x) + (0.5x) Remove parenthesis around (0.65x) 513 = 20 + 3x + 5 * 0.65x + (0.5x) Multiply 5 * 0.65 513 = 20 + 3x + 3.25x + (0.5x) Combine like terms: 3x + 3.25x = 6.25x 513 = 20 + 6.25x + (0.5x) Combine like terms: 6.25x + (0.5x) = 6.75x 513 = 20 + 6.75x Solving 513 = 20 + 6.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.75x' to each side of the equation. 513 + -6.75x = 20 + 6.75x + -6.75x Combine like terms: 6.75x + -6.75x = 0.00 513 + -6.75x = 20 + 0.00 513 + -6.75x = 20 Add '-513' to each side of the equation. 513 + -513 + -6.75x = 20 + -513 Combine like terms: 513 + -513 = 0 0 + -6.75x = 20 + -513 -6.75x = 20 + -513 Combine like terms: 20 + -513 = -493 -6.75x = -493 Divide each side by '-6.75'. x = 73.03703704 Simplifying x = 73.03703704
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