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Simplifying 2.2x + 98 = 4.7x + 23 Reorder the terms: 98 + 2.2x = 4.7x + 23 Reorder the terms: 98 + 2.2x = 23 + 4.7x Solving 98 + 2.2x = 23 + 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. 98 + 2.2x + -4.7x = 23 + 4.7x + -4.7x Combine like terms: 2.2x + -4.7x = -2.5x 98 + -2.5x = 23 + 4.7x + -4.7x Combine like terms: 4.7x + -4.7x = 0.0 98 + -2.5x = 23 + 0.0 98 + -2.5x = 23 Add '-98' to each side of the equation. 98 + -98 + -2.5x = 23 + -98 Combine like terms: 98 + -98 = 0 0 + -2.5x = 23 + -98 -2.5x = 23 + -98 Combine like terms: 23 + -98 = -75 -2.5x = -75 Divide each side by '-2.5'. x = 30 Simplifying x = 30
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