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Simplifying -5(1 + -11x) + -11 = 8(9x + -2) (1 * -5 + -11x * -5) + -11 = 8(9x + -2) (-5 + 55x) + -11 = 8(9x + -2) Reorder the terms: -5 + -11 + 55x = 8(9x + -2) Combine like terms: -5 + -11 = -16 -16 + 55x = 8(9x + -2) Reorder the terms: -16 + 55x = 8(-2 + 9x) -16 + 55x = (-2 * 8 + 9x * 8) -16 + 55x = (-16 + 72x) Add '16' to each side of the equation. -16 + 16 + 55x = -16 + 16 + 72x Combine like terms: -16 + 16 = 0 0 + 55x = -16 + 16 + 72x 55x = -16 + 16 + 72x Combine like terms: -16 + 16 = 0 55x = 0 + 72x 55x = 72x Solving 55x = 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 55x + -72x = 72x + -72x Combine like terms: 55x + -72x = -17x -17x = 72x + -72x Combine like terms: 72x + -72x = 0 -17x = 0 Divide each side by '-17'. x = 0 Simplifying x = 0
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