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Simplifying 10 + -9x + -5 = -1(3x + 5) + -2(2x + -5) Reorder the terms: 10 + -5 + -9x = -1(3x + 5) + -2(2x + -5) Combine like terms: 10 + -5 = 5 5 + -9x = -1(3x + 5) + -2(2x + -5) Reorder the terms: 5 + -9x = -1(5 + 3x) + -2(2x + -5) 5 + -9x = (5 * -1 + 3x * -1) + -2(2x + -5) 5 + -9x = (-5 + -3x) + -2(2x + -5) Reorder the terms: 5 + -9x = -5 + -3x + -2(-5 + 2x) 5 + -9x = -5 + -3x + (-5 * -2 + 2x * -2) 5 + -9x = -5 + -3x + (10 + -4x) Reorder the terms: 5 + -9x = -5 + 10 + -3x + -4x Combine like terms: -5 + 10 = 5 5 + -9x = 5 + -3x + -4x Combine like terms: -3x + -4x = -7x 5 + -9x = 5 + -7x Add '-5' to each side of the equation. 5 + -5 + -9x = 5 + -5 + -7x Combine like terms: 5 + -5 = 0 0 + -9x = 5 + -5 + -7x -9x = 5 + -5 + -7x Combine like terms: 5 + -5 = 0 -9x = 0 + -7x -9x = -7x Solving -9x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -9x + 7x = -7x + 7x Combine like terms: -9x + 7x = -2x -2x = -7x + 7x Combine like terms: -7x + 7x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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