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Simplifying 537.75 = (4x + 20) + 4(0.65x) Reorder the terms: 537.75 = (20 + 4x) + 4(0.65x) Remove parenthesis around (20 + 4x) 537.75 = 20 + 4x + 4(0.65x) Remove parenthesis around (0.65x) 537.75 = 20 + 4x + 4 * 0.65x Multiply 4 * 0.65 537.75 = 20 + 4x + 2.6x Combine like terms: 4x + 2.6x = 6.6x 537.75 = 20 + 6.6x Solving 537.75 = 20 + 6.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.6x' to each side of the equation. 537.75 + -6.6x = 20 + 6.6x + -6.6x Combine like terms: 6.6x + -6.6x = 0.0 537.75 + -6.6x = 20 + 0.0 537.75 + -6.6x = 20 Add '-537.75' to each side of the equation. 537.75 + -537.75 + -6.6x = 20 + -537.75 Combine like terms: 537.75 + -537.75 = 0.00 0.00 + -6.6x = 20 + -537.75 -6.6x = 20 + -537.75 Combine like terms: 20 + -537.75 = -517.75 -6.6x = -517.75 Divide each side by '-6.6'. x = 78.4469697 Simplifying x = 78.4469697
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