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Simplifying 2.9x + -83 = 1.7x + 7 Reorder the terms: -83 + 2.9x = 1.7x + 7 Reorder the terms: -83 + 2.9x = 7 + 1.7x Solving -83 + 2.9x = 7 + 1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7x' to each side of the equation. -83 + 2.9x + -1.7x = 7 + 1.7x + -1.7x Combine like terms: 2.9x + -1.7x = 1.2x -83 + 1.2x = 7 + 1.7x + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 -83 + 1.2x = 7 + 0.0 -83 + 1.2x = 7 Add '83' to each side of the equation. -83 + 83 + 1.2x = 7 + 83 Combine like terms: -83 + 83 = 0 0 + 1.2x = 7 + 83 1.2x = 7 + 83 Combine like terms: 7 + 83 = 90 1.2x = 90 Divide each side by '1.2'. x = 75 Simplifying x = 75
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