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Simplifying 3.7x + -79 = 2.1x + 9 Reorder the terms: -79 + 3.7x = 2.1x + 9 Reorder the terms: -79 + 3.7x = 9 + 2.1x Solving -79 + 3.7x = 9 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. -79 + 3.7x + -2.1x = 9 + 2.1x + -2.1x Combine like terms: 3.7x + -2.1x = 1.6x -79 + 1.6x = 9 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 -79 + 1.6x = 9 + 0.0 -79 + 1.6x = 9 Add '79' to each side of the equation. -79 + 79 + 1.6x = 9 + 79 Combine like terms: -79 + 79 = 0 0 + 1.6x = 9 + 79 1.6x = 9 + 79 Combine like terms: 9 + 79 = 88 1.6x = 88 Divide each side by '1.6'. x = 55 Simplifying x = 55
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