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Simplifying 537.75 = (4x + 20) + 3(0.65x) + (0.3x) Reorder the terms: 537.75 = (20 + 4x) + 3(0.65x) + (0.3x) Remove parenthesis around (20 + 4x) 537.75 = 20 + 4x + 3(0.65x) + (0.3x) Remove parenthesis around (0.65x) 537.75 = 20 + 4x + 3 * 0.65x + (0.3x) Multiply 3 * 0.65 537.75 = 20 + 4x + 1.95x + (0.3x) Combine like terms: 4x + 1.95x = 5.95x 537.75 = 20 + 5.95x + (0.3x) Combine like terms: 5.95x + (0.3x) = 6.25x 537.75 = 20 + 6.25x Solving 537.75 = 20 + 6.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.25x' to each side of the equation. 537.75 + -6.25x = 20 + 6.25x + -6.25x Combine like terms: 6.25x + -6.25x = 0.00 537.75 + -6.25x = 20 + 0.00 537.75 + -6.25x = 20 Add '-537.75' to each side of the equation. 537.75 + -537.75 + -6.25x = 20 + -537.75 Combine like terms: 537.75 + -537.75 = 0.00 0.00 + -6.25x = 20 + -537.75 -6.25x = 20 + -537.75 Combine like terms: 20 + -537.75 = -517.75 -6.25x = -517.75 Divide each side by '-6.25'. x = 82.84 Simplifying x = 82.84
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