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Simplifying 6(20 + x) = 3(30 + -1x) (20 * 6 + x * 6) = 3(30 + -1x) (120 + 6x) = 3(30 + -1x) 120 + 6x = (30 * 3 + -1x * 3) 120 + 6x = (90 + -3x) Solving 120 + 6x = 90 + -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. 120 + 6x + 3x = 90 + -3x + 3x Combine like terms: 6x + 3x = 9x 120 + 9x = 90 + -3x + 3x Combine like terms: -3x + 3x = 0 120 + 9x = 90 + 0 120 + 9x = 90 Add '-120' to each side of the equation. 120 + -120 + 9x = 90 + -120 Combine like terms: 120 + -120 = 0 0 + 9x = 90 + -120 9x = 90 + -120 Combine like terms: 90 + -120 = -30 9x = -30 Divide each side by '9'. x = -3.333333333 Simplifying x = -3.333333333
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