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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 = -1x 10 + -1x = -25 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + -1x = -25 + 0 10 + -1x = -25 Add '-10' to each side of the equation. 10 + -10 + -1x = -25 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -25 + -10 -1x = -25 + -10 Combine like terms: -25 + -10 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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