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Simplifying 382.50 = 3x + 4(0.65x) Remove parenthesis around (0.65x) 382.50 = 3x + 4 * 0.65x Multiply 4 * 0.65 382.50 = 3x + 2.6x Combine like terms: 3x + 2.6x = 5.6x 382.50 = 5.6x Solving 382.50 = 5.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.6x' to each side of the equation. 382.50 + -5.6x = 5.6x + -5.6x Combine like terms: 5.6x + -5.6x = 0.0 382.50 + -5.6x = 0.0 Add '-382.50' to each side of the equation. 382.50 + -382.50 + -5.6x = 0.0 + -382.50 Combine like terms: 382.50 + -382.50 = 0.00 0.00 + -5.6x = 0.0 + -382.50 -5.6x = 0.0 + -382.50 Combine like terms: 0.0 + -382.50 = -382.5 -5.6x = -382.5 Divide each side by '-5.6'. x = 68.30357143 Simplifying x = 68.30357143
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