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Simplifying 5(7 + x) = 6(5 + -1x) (7 * 5 + x * 5) = 6(5 + -1x) (35 + 5x) = 6(5 + -1x) 35 + 5x = (5 * 6 + -1x * 6) 35 + 5x = (30 + -6x) Solving 35 + 5x = 30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 35 + 5x + 6x = 30 + -6x + 6x Combine like terms: 5x + 6x = 11x 35 + 11x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 35 + 11x = 30 + 0 35 + 11x = 30 Add '-35' to each side of the equation. 35 + -35 + 11x = 30 + -35 Combine like terms: 35 + -35 = 0 0 + 11x = 30 + -35 11x = 30 + -35 Combine like terms: 30 + -35 = -5 11x = -5 Divide each side by '11'. x = -0.4545454545 Simplifying x = -0.4545454545
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