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Simplifying 6(x + 5) + -1 = -5(x + -2) Reorder the terms: 6(5 + x) + -1 = -5(x + -2) (5 * 6 + x * 6) + -1 = -5(x + -2) (30 + 6x) + -1 = -5(x + -2) Reorder the terms: 30 + -1 + 6x = -5(x + -2) Combine like terms: 30 + -1 = 29 29 + 6x = -5(x + -2) Reorder the terms: 29 + 6x = -5(-2 + x) 29 + 6x = (-2 * -5 + x * -5) 29 + 6x = (10 + -5x) Solving 29 + 6x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 29 + 6x + 5x = 10 + -5x + 5x Combine like terms: 6x + 5x = 11x 29 + 11x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 29 + 11x = 10 + 0 29 + 11x = 10 Add '-29' to each side of the equation. 29 + -29 + 11x = 10 + -29 Combine like terms: 29 + -29 = 0 0 + 11x = 10 + -29 11x = 10 + -29 Combine like terms: 10 + -29 = -19 11x = -19 Divide each side by '11'. x = -1.727272727 Simplifying x = -1.727272727
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