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Simplifying -2x + 49 = 2x + 21 Reorder the terms: 49 + -2x = 2x + 21 Reorder the terms: 49 + -2x = 21 + 2x Solving 49 + -2x = 21 + 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 + -2x + -2x = 21 + 2x + -2x Combine like terms: -2x + -2x = -4x 49 + -4x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + -4x = 21 + 0 49 + -4x = 21 Add '-49' to each side of the equation. 49 + -49 + -4x = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -4x = 21 + -49 -4x = 21 + -49 Combine like terms: 21 + -49 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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