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Simplifying (-6x + 9) + 1 = 5(x + 5) Reorder the terms: (9 + -6x) + 1 = 5(x + 5) Remove parenthesis around (9 + -6x) 9 + -6x + 1 = 5(x + 5) Reorder the terms: 9 + 1 + -6x = 5(x + 5) Combine like terms: 9 + 1 = 10 10 + -6x = 5(x + 5) Reorder the terms: 10 + -6x = 5(5 + x) 10 + -6x = (5 * 5 + x * 5) 10 + -6x = (25 + 5x) Solving 10 + -6x = 25 + 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. 10 + -6x + -5x = 25 + 5x + -5x Combine like terms: -6x + -5x = -11x 10 + -11x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -11x = 25 + 0 10 + -11x = 25 Add '-10' to each side of the equation. 10 + -10 + -11x = 25 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 25 + -10 -11x = 25 + -10 Combine like terms: 25 + -10 = 15 -11x = 15 Divide each side by '-11'. x = -1.363636364 Simplifying x = -1.363636364
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