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Simplifying -9 + -5(x + -1) = -9x + 8(2x + -11) Reorder the terms: -9 + -5(-1 + x) = -9x + 8(2x + -11) -9 + (-1 * -5 + x * -5) = -9x + 8(2x + -11) -9 + (5 + -5x) = -9x + 8(2x + -11) Combine like terms: -9 + 5 = -4 -4 + -5x = -9x + 8(2x + -11) Reorder the terms: -4 + -5x = -9x + 8(-11 + 2x) -4 + -5x = -9x + (-11 * 8 + 2x * 8) -4 + -5x = -9x + (-88 + 16x) Reorder the terms: -4 + -5x = -88 + -9x + 16x Combine like terms: -9x + 16x = 7x -4 + -5x = -88 + 7x Solving -4 + -5x = -88 + 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. -4 + -5x + -7x = -88 + 7x + -7x Combine like terms: -5x + -7x = -12x -4 + -12x = -88 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -12x = -88 + 0 -4 + -12x = -88 Add '4' to each side of the equation. -4 + 4 + -12x = -88 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = -88 + 4 -12x = -88 + 4 Combine like terms: -88 + 4 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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