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Simplifying 3.2x + -49 = 1.6x + 7 Reorder the terms: -49 + 3.2x = 1.6x + 7 Reorder the terms: -49 + 3.2x = 7 + 1.6x Solving -49 + 3.2x = 7 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. -49 + 3.2x + -1.6x = 7 + 1.6x + -1.6x Combine like terms: 3.2x + -1.6x = 1.6x -49 + 1.6x = 7 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -49 + 1.6x = 7 + 0.0 -49 + 1.6x = 7 Add '49' to each side of the equation. -49 + 49 + 1.6x = 7 + 49 Combine like terms: -49 + 49 = 0 0 + 1.6x = 7 + 49 1.6x = 7 + 49 Combine like terms: 7 + 49 = 56 1.6x = 56 Divide each side by '1.6'. x = 35 Simplifying x = 35
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