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Simplifying 461.25 = (4x + 20) + 4(0.65x) Reorder the terms: 461.25 = (20 + 4x) + 4(0.65x) Remove parenthesis around (20 + 4x) 461.25 = 20 + 4x + 4(0.65x) Remove parenthesis around (0.65x) 461.25 = 20 + 4x + 4 * 0.65x Multiply 4 * 0.65 461.25 = 20 + 4x + 2.6x Combine like terms: 4x + 2.6x = 6.6x 461.25 = 20 + 6.6x Solving 461.25 = 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. 461.25 + -6.6x = 20 + 6.6x + -6.6x Combine like terms: 6.6x + -6.6x = 0.0 461.25 + -6.6x = 20 + 0.0 461.25 + -6.6x = 20 Add '-461.25' to each side of the equation. 461.25 + -461.25 + -6.6x = 20 + -461.25 Combine like terms: 461.25 + -461.25 = 0.00 0.00 + -6.6x = 20 + -461.25 -6.6x = 20 + -461.25 Combine like terms: 20 + -461.25 = -441.25 -6.6x = -441.25 Divide each side by '-6.6'. x = 66.85606061 Simplifying x = 66.85606061
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