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Simplifying 9x + -5(x + -5) = 2(x + -5) + 9 Reorder the terms: 9x + -5(-5 + x) = 2(x + -5) + 9 9x + (-5 * -5 + x * -5) = 2(x + -5) + 9 9x + (25 + -5x) = 2(x + -5) + 9 Reorder the terms: 25 + 9x + -5x = 2(x + -5) + 9 Combine like terms: 9x + -5x = 4x 25 + 4x = 2(x + -5) + 9 Reorder the terms: 25 + 4x = 2(-5 + x) + 9 25 + 4x = (-5 * 2 + x * 2) + 9 25 + 4x = (-10 + 2x) + 9 Reorder the terms: 25 + 4x = -10 + 9 + 2x Combine like terms: -10 + 9 = -1 25 + 4x = -1 + 2x Solving 25 + 4x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 25 + 4x + -2x = -1 + 2x + -2x Combine like terms: 4x + -2x = 2x 25 + 2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 25 + 2x = -1 + 0 25 + 2x = -1 Add '-25' to each side of the equation. 25 + -25 + 2x = -1 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = -1 + -25 2x = -1 + -25 Combine like terms: -1 + -25 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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