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Simplifying 8x + -1(5 + 2x) + -1(4x + 11) = 5x + -12 8x + (5 * -1 + 2x * -1) + -1(4x + 11) = 5x + -12 8x + (-5 + -2x) + -1(4x + 11) = 5x + -12 Reorder the terms: 8x + -5 + -2x + -1(11 + 4x) = 5x + -12 8x + -5 + -2x + (11 * -1 + 4x * -1) = 5x + -12 8x + -5 + -2x + (-11 + -4x) = 5x + -12 Reorder the terms: -5 + -11 + 8x + -2x + -4x = 5x + -12 Combine like terms: -5 + -11 = -16 -16 + 8x + -2x + -4x = 5x + -12 Combine like terms: 8x + -2x = 6x -16 + 6x + -4x = 5x + -12 Combine like terms: 6x + -4x = 2x -16 + 2x = 5x + -12 Reorder the terms: -16 + 2x = -12 + 5x Solving -16 + 2x = -12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 2x + -5x = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x -16 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -3x = -12 + 0 -16 + -3x = -12 Add '16' to each side of the equation. -16 + 16 + -3x = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = -12 + 16 -3x = -12 + 16 Combine like terms: -12 + 16 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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