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Simplifying 2x + -6x + 49 = 5x + 40 Reorder the terms: 49 + 2x + -6x = 5x + 40 Combine like terms: 2x + -6x = -4x 49 + -4x = 5x + 40 Reorder the terms: 49 + -4x = 40 + 5x Solving 49 + -4x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 49 + -4x + -5x = 40 + 5x + -5x Combine like terms: -4x + -5x = -9x 49 + -9x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 49 + -9x = 40 + 0 49 + -9x = 40 Add '-49' to each side of the equation. 49 + -49 + -9x = 40 + -49 Combine like terms: 49 + -49 = 0 0 + -9x = 40 + -49 -9x = 40 + -49 Combine like terms: 40 + -49 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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