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Simplifying 3x + -7x + 49 = 3x + 35 Reorder the terms: 49 + 3x + -7x = 3x + 35 Combine like terms: 3x + -7x = -4x 49 + -4x = 3x + 35 Reorder the terms: 49 + -4x = 35 + 3x Solving 49 + -4x = 35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 49 + -4x + -3x = 35 + 3x + -3x Combine like terms: -4x + -3x = -7x 49 + -7x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 49 + -7x = 35 + 0 49 + -7x = 35 Add '-49' to each side of the equation. 49 + -49 + -7x = 35 + -49 Combine like terms: 49 + -49 = 0 0 + -7x = 35 + -49 -7x = 35 + -49 Combine like terms: 35 + -49 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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