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Simplifying 4.5x + -3 + -2.5x + 4 = 19 Reorder the terms: -3 + 4 + 4.5x + -2.5x = 19 Combine like terms: -3 + 4 = 1 1 + 4.5x + -2.5x = 19 Combine like terms: 4.5x + -2.5x = 2x 1 + 2x = 19 Solving 1 + 2x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 19 + -1 2x = 19 + -1 Combine like terms: 19 + -1 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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