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Simplifying 7x + 1 = -9x + 49 Reorder the terms: 1 + 7x = -9x + 49 Reorder the terms: 1 + 7x = 49 + -9x Solving 1 + 7x = 49 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 1 + 7x + 9x = 49 + -9x + 9x Combine like terms: 7x + 9x = 16x 1 + 16x = 49 + -9x + 9x Combine like terms: -9x + 9x = 0 1 + 16x = 49 + 0 1 + 16x = 49 Add '-1' to each side of the equation. 1 + -1 + 16x = 49 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 49 + -1 16x = 49 + -1 Combine like terms: 49 + -1 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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