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Simplifying -5 + -1(11x + -1) = 2(9x + -16) + -1x Reorder the terms: -5 + -1(-1 + 11x) = 2(9x + -16) + -1x -5 + (-1 * -1 + 11x * -1) = 2(9x + -16) + -1x -5 + (1 + -11x) = 2(9x + -16) + -1x Combine like terms: -5 + 1 = -4 -4 + -11x = 2(9x + -16) + -1x Reorder the terms: -4 + -11x = 2(-16 + 9x) + -1x -4 + -11x = (-16 * 2 + 9x * 2) + -1x -4 + -11x = (-32 + 18x) + -1x Combine like terms: 18x + -1x = 17x -4 + -11x = -32 + 17x Solving -4 + -11x = -32 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -4 + -11x + -17x = -32 + 17x + -17x Combine like terms: -11x + -17x = -28x -4 + -28x = -32 + 17x + -17x Combine like terms: 17x + -17x = 0 -4 + -28x = -32 + 0 -4 + -28x = -32 Add '4' to each side of the equation. -4 + 4 + -28x = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -28x = -32 + 4 -28x = -32 + 4 Combine like terms: -32 + 4 = -28 -28x = -28 Divide each side by '-28'. x = 1 Simplifying x = 1
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