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Simplifying 7x + 49 = 2(x + 2) Reorder the terms: 49 + 7x = 2(x + 2) Reorder the terms: 49 + 7x = 2(2 + x) 49 + 7x = (2 * 2 + x * 2) 49 + 7x = (4 + 2x) Solving 49 + 7x = 4 + 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. 49 + 7x + -2x = 4 + 2x + -2x Combine like terms: 7x + -2x = 5x 49 + 5x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + 5x = 4 + 0 49 + 5x = 4 Add '-49' to each side of the equation. 49 + -49 + 5x = 4 + -49 Combine like terms: 49 + -49 = 0 0 + 5x = 4 + -49 5x = 4 + -49 Combine like terms: 4 + -49 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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