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Simplifying 7(5x + 6) = 23 + -1(x + 5) Reorder the terms: 7(6 + 5x) = 23 + -1(x + 5) (6 * 7 + 5x * 7) = 23 + -1(x + 5) (42 + 35x) = 23 + -1(x + 5) Reorder the terms: 42 + 35x = 23 + -1(5 + x) 42 + 35x = 23 + (5 * -1 + x * -1) 42 + 35x = 23 + (-5 + -1x) Combine like terms: 23 + -5 = 18 42 + 35x = 18 + -1x Solving 42 + 35x = 18 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + 35x + x = 18 + -1x + x Combine like terms: 35x + x = 36x 42 + 36x = 18 + -1x + x Combine like terms: -1x + x = 0 42 + 36x = 18 + 0 42 + 36x = 18 Add '-42' to each side of the equation. 42 + -42 + 36x = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 36x = 18 + -42 36x = 18 + -42 Combine like terms: 18 + -42 = -24 36x = -24 Divide each side by '36'. x = -0.6666666667 Simplifying x = -0.6666666667
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