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Simplifying 5x + 49 = 7x + -9 Reorder the terms: 49 + 5x = 7x + -9 Reorder the terms: 49 + 5x = -9 + 7x Solving 49 + 5x = -9 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 49 + 5x + -7x = -9 + 7x + -7x Combine like terms: 5x + -7x = -2x 49 + -2x = -9 + 7x + -7x Combine like terms: 7x + -7x = 0 49 + -2x = -9 + 0 49 + -2x = -9 Add '-49' to each side of the equation. 49 + -49 + -2x = -9 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = -9 + -49 -2x = -9 + -49 Combine like terms: -9 + -49 = -58 -2x = -58 Divide each side by '-2'. x = 29 Simplifying x = 29
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