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Simplifying 8x + -20(x + 1) = 2(2x + -5) + -1(9x + 10) Reorder the terms: 8x + -20(1 + x) = 2(2x + -5) + -1(9x + 10) 8x + (1 * -20 + x * -20) = 2(2x + -5) + -1(9x + 10) 8x + (-20 + -20x) = 2(2x + -5) + -1(9x + 10) Reorder the terms: -20 + 8x + -20x = 2(2x + -5) + -1(9x + 10) Combine like terms: 8x + -20x = -12x -20 + -12x = 2(2x + -5) + -1(9x + 10) Reorder the terms: -20 + -12x = 2(-5 + 2x) + -1(9x + 10) -20 + -12x = (-5 * 2 + 2x * 2) + -1(9x + 10) -20 + -12x = (-10 + 4x) + -1(9x + 10) Reorder the terms: -20 + -12x = -10 + 4x + -1(10 + 9x) -20 + -12x = -10 + 4x + (10 * -1 + 9x * -1) -20 + -12x = -10 + 4x + (-10 + -9x) Reorder the terms: -20 + -12x = -10 + -10 + 4x + -9x Combine like terms: -10 + -10 = -20 -20 + -12x = -20 + 4x + -9x Combine like terms: 4x + -9x = -5x -20 + -12x = -20 + -5x Add '20' to each side of the equation. -20 + 20 + -12x = -20 + 20 + -5x Combine like terms: -20 + 20 = 0 0 + -12x = -20 + 20 + -5x -12x = -20 + 20 + -5x Combine like terms: -20 + 20 = 0 -12x = 0 + -5x -12x = -5x Solving -12x = -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. -12x + 5x = -5x + 5x Combine like terms: -12x + 5x = -7x -7x = -5x + 5x Combine like terms: -5x + 5x = 0 -7x = 0 Divide each side by '-7'. x = 0 Simplifying x = 0
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