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Simplifying 1.50x + 19.00 = 2.25x + 15.00 Reorder the terms: 19.00 + 1.50x = 2.25x + 15.00 Reorder the terms: 19.00 + 1.50x = 15.00 + 2.25x Solving 19.00 + 1.50x = 15.00 + 2.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25x' to each side of the equation. 19.00 + 1.50x + -2.25x = 15.00 + 2.25x + -2.25x Combine like terms: 1.50x + -2.25x = -0.75x 19.00 + -0.75x = 15.00 + 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 19.00 + -0.75x = 15.00 + 0.00 19.00 + -0.75x = 15.00 Add '-19.00' to each side of the equation. 19.00 + -19.00 + -0.75x = 15.00 + -19.00 Combine like terms: 19.00 + -19.00 = 0.00 0.00 + -0.75x = 15.00 + -19.00 -0.75x = 15.00 + -19.00 Combine like terms: 15.00 + -19.00 = -4 -0.75x = -4 Divide each side by '-0.75'. x = 5.333333333 Simplifying x = 5.333333333
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