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Simplifying 3x + -9x + 49 = 2x + 33 Reorder the terms: 49 + 3x + -9x = 2x + 33 Combine like terms: 3x + -9x = -6x 49 + -6x = 2x + 33 Reorder the terms: 49 + -6x = 33 + 2x Solving 49 + -6x = 33 + 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 + -6x + -2x = 33 + 2x + -2x Combine like terms: -6x + -2x = -8x 49 + -8x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 49 + -8x = 33 + 0 49 + -8x = 33 Add '-49' to each side of the equation. 49 + -49 + -8x = 33 + -49 Combine like terms: 49 + -49 = 0 0 + -8x = 33 + -49 -8x = 33 + -49 Combine like terms: 33 + -49 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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