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Simplifying 474.75 = (3x + 20) + 4(0.65x) + (0.5x) Reorder the terms: 474.75 = (20 + 3x) + 4(0.65x) + (0.5x) Remove parenthesis around (20 + 3x) 474.75 = 20 + 3x + 4(0.65x) + (0.5x) Remove parenthesis around (0.65x) 474.75 = 20 + 3x + 4 * 0.65x + (0.5x) Multiply 4 * 0.65 474.75 = 20 + 3x + 2.6x + (0.5x) Combine like terms: 3x + 2.6x = 5.6x 474.75 = 20 + 5.6x + (0.5x) Combine like terms: 5.6x + (0.5x) = 6.1x 474.75 = 20 + 6.1x Solving 474.75 = 20 + 6.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.1x' to each side of the equation. 474.75 + -6.1x = 20 + 6.1x + -6.1x Combine like terms: 6.1x + -6.1x = 0.0 474.75 + -6.1x = 20 + 0.0 474.75 + -6.1x = 20 Add '-474.75' to each side of the equation. 474.75 + -474.75 + -6.1x = 20 + -474.75 Combine like terms: 474.75 + -474.75 = 0.00 0.00 + -6.1x = 20 + -474.75 -6.1x = 20 + -474.75 Combine like terms: 20 + -474.75 = -454.75 -6.1x = -454.75 Divide each side by '-6.1'. x = 74.54918033 Simplifying x = 74.54918033
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