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