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Simplifying 9.7x + 24 = 4.7x + 19 Reorder the terms: 24 + 9.7x = 4.7x + 19 Reorder the terms: 24 + 9.7x = 19 + 4.7x Solving 24 + 9.7x = 19 + 4.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.7x' to each side of the equation. 24 + 9.7x + -4.7x = 19 + 4.7x + -4.7x Combine like terms: 9.7x + -4.7x = 5x 24 + 5x = 19 + 4.7x + -4.7x Combine like terms: 4.7x + -4.7x = 0.0 24 + 5x = 19 + 0.0 24 + 5x = 19 Add '-24' to each side of the equation. 24 + -24 + 5x = 19 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 19 + -24 5x = 19 + -24 Combine like terms: 19 + -24 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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