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Simplifying 4.00x + 135.00 = 2.50(90 + x) Reorder the terms: 135.00 + 4.00x = 2.50(90 + x) 135.00 + 4.00x = (90 * 2.50 + x * 2.50) 135.00 + 4.00x = (225 + 2.50x) Solving 135.00 + 4.00x = 225 + 2.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.50x' to each side of the equation. 135.00 + 4.00x + -2.50x = 225 + 2.50x + -2.50x Combine like terms: 4.00x + -2.50x = 1.5x 135.00 + 1.5x = 225 + 2.50x + -2.50x Combine like terms: 2.50x + -2.50x = 0.00 135.00 + 1.5x = 225 + 0.00 135.00 + 1.5x = 225 Add '-135.00' to each side of the equation. 135.00 + -135.00 + 1.5x = 225 + -135.00 Combine like terms: 135.00 + -135.00 = 0.00 0.00 + 1.5x = 225 + -135.00 1.5x = 225 + -135.00 Combine like terms: 225 + -135.00 = 90 1.5x = 90 Divide each side by '1.5'. x = 60 Simplifying x = 60
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