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Simplifying 2x + -5(x + 11) + -8(x + 5) + -1(x + -1) = 2x + -6x + 6x + -2x + 11 + -10 Reorder the terms: 2x + -5(11 + x) + -8(x + 5) + -1(x + -1) = 2x + -6x + 6x + -2x + 11 + -10 2x + (11 * -5 + x * -5) + -8(x + 5) + -1(x + -1) = 2x + -6x + 6x + -2x + 11 + -10 2x + (-55 + -5x) + -8(x + 5) + -1(x + -1) = 2x + -6x + 6x + -2x + 11 + -10 Reorder the terms: 2x + -55 + -5x + -8(5 + x) + -1(x + -1) = 2x + -6x + 6x + -2x + 11 + -10 2x + -55 + -5x + (5 * -8 + x * -8) + -1(x + -1) = 2x + -6x + 6x + -2x + 11 + -10 2x + -55 + -5x + (-40 + -8x) + -1(x + -1) = 2x + -6x + 6x + -2x + 11 + -10 Reorder the terms: 2x + -55 + -5x + -40 + -8x + -1(-1 + x) = 2x + -6x + 6x + -2x + 11 + -10 2x + -55 + -5x + -40 + -8x + (-1 * -1 + x * -1) = 2x + -6x + 6x + -2x + 11 + -10 2x + -55 + -5x + -40 + -8x + (1 + -1x) = 2x + -6x + 6x + -2x + 11 + -10 Reorder the terms: -55 + -40 + 1 + 2x + -5x + -8x + -1x = 2x + -6x + 6x + -2x + 11 + -10 Combine like terms: -55 + -40 = -95 -95 + 1 + 2x + -5x + -8x + -1x = 2x + -6x + 6x + -2x + 11 + -10 Combine like terms: -95 + 1 = -94 -94 + 2x + -5x + -8x + -1x = 2x + -6x + 6x + -2x + 11 + -10 Combine like terms: 2x + -5x = -3x -94 + -3x + -8x + -1x = 2x + -6x + 6x + -2x + 11 + -10 Combine like terms: -3x + -8x = -11x -94 + -11x + -1x = 2x + -6x + 6x + -2x + 11 + -10 Combine like terms: -11x + -1x = -12x -94 + -12x = 2x + -6x + 6x + -2x + 11 + -10 Reorder the terms: -94 + -12x = 11 + -10 + 2x + -6x + 6x + -2x Combine like terms: 11 + -10 = 1 -94 + -12x = 1 + 2x + -6x + 6x + -2x Combine like terms: 2x + -6x = -4x -94 + -12x = 1 + -4x + 6x + -2x Combine like terms: -4x + 6x = 2x -94 + -12x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -94 + -12x = 1 + 0 -94 + -12x = 1 Solving -94 + -12x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '94' to each side of the equation. -94 + 94 + -12x = 1 + 94 Combine like terms: -94 + 94 = 0 0 + -12x = 1 + 94 -12x = 1 + 94 Combine like terms: 1 + 94 = 95 -12x = 95 Divide each side by '-12'. x = -7.916666667 Simplifying x = -7.916666667
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