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Simplifying 10x + -14 = 4.5x + 19 Reorder the terms: -14 + 10x = 4.5x + 19 Reorder the terms: -14 + 10x = 19 + 4.5x Solving -14 + 10x = 19 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. -14 + 10x + -4.5x = 19 + 4.5x + -4.5x Combine like terms: 10x + -4.5x = 5.5x -14 + 5.5x = 19 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 -14 + 5.5x = 19 + 0.0 -14 + 5.5x = 19 Add '14' to each side of the equation. -14 + 14 + 5.5x = 19 + 14 Combine like terms: -14 + 14 = 0 0 + 5.5x = 19 + 14 5.5x = 19 + 14 Combine like terms: 19 + 14 = 33 5.5x = 33 Divide each side by '5.5'. x = 6 Simplifying x = 6
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