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Simplifying 107x + 465 = 1200 + 2x Reorder the terms: 465 + 107x = 1200 + 2x Solving 465 + 107x = 1200 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 465 + 107x + -2x = 1200 + 2x + -2x Combine like terms: 107x + -2x = 105x 465 + 105x = 1200 + 2x + -2x Combine like terms: 2x + -2x = 0 465 + 105x = 1200 + 0 465 + 105x = 1200 Add '-465' to each side of the equation. 465 + -465 + 105x = 1200 + -465 Combine like terms: 465 + -465 = 0 0 + 105x = 1200 + -465 105x = 1200 + -465 Combine like terms: 1200 + -465 = 735 105x = 735 Divide each side by '105'. x = 7 Simplifying x = 7
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