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Simplifying 120 + 22x = 2(105 + -4x) 120 + 22x = (105 * 2 + -4x * 2) 120 + 22x = (210 + -8x) Solving 120 + 22x = 210 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 120 + 22x + 8x = 210 + -8x + 8x Combine like terms: 22x + 8x = 30x 120 + 30x = 210 + -8x + 8x Combine like terms: -8x + 8x = 0 120 + 30x = 210 + 0 120 + 30x = 210 Add '-120' to each side of the equation. 120 + -120 + 30x = 210 + -120 Combine like terms: 120 + -120 = 0 0 + 30x = 210 + -120 30x = 210 + -120 Combine like terms: 210 + -120 = 90 30x = 90 Divide each side by '30'. x = 3 Simplifying x = 3
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