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Simplifying -10(10 + -2x) + -1(5x + -12) = 9x + -5x (10 * -10 + -2x * -10) + -1(5x + -12) = 9x + -5x (-100 + 20x) + -1(5x + -12) = 9x + -5x Reorder the terms: -100 + 20x + -1(-12 + 5x) = 9x + -5x -100 + 20x + (-12 * -1 + 5x * -1) = 9x + -5x -100 + 20x + (12 + -5x) = 9x + -5x Reorder the terms: -100 + 12 + 20x + -5x = 9x + -5x Combine like terms: -100 + 12 = -88 -88 + 20x + -5x = 9x + -5x Combine like terms: 20x + -5x = 15x -88 + 15x = 9x + -5x Combine like terms: 9x + -5x = 4x -88 + 15x = 4x Solving -88 + 15x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -88 + 15x + -4x = 4x + -4x Combine like terms: 15x + -4x = 11x -88 + 11x = 4x + -4x Combine like terms: 4x + -4x = 0 -88 + 11x = 0 Add '88' to each side of the equation. -88 + 88 + 11x = 0 + 88 Combine like terms: -88 + 88 = 0 0 + 11x = 0 + 88 11x = 0 + 88 Combine like terms: 0 + 88 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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