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Simplifying x + -1(5 + -2x) + -1(4x + 11) = 5x + -13 x + (5 * -1 + -2x * -1) + -1(4x + 11) = 5x + -13 x + (-5 + 2x) + -1(4x + 11) = 5x + -13 Reorder the terms: x + -5 + 2x + -1(11 + 4x) = 5x + -13 x + -5 + 2x + (11 * -1 + 4x * -1) = 5x + -13 x + -5 + 2x + (-11 + -4x) = 5x + -13 Reorder the terms: -5 + -11 + x + 2x + -4x = 5x + -13 Combine like terms: -5 + -11 = -16 -16 + x + 2x + -4x = 5x + -13 Combine like terms: x + 2x = 3x -16 + 3x + -4x = 5x + -13 Combine like terms: 3x + -4x = -1x -16 + -1x = 5x + -13 Reorder the terms: -16 + -1x = -13 + 5x Solving -16 + -1x = -13 + 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 + -1x + -5x = -13 + 5x + -5x Combine like terms: -1x + -5x = -6x -16 + -6x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + -6x = -13 + 0 -16 + -6x = -13 Add '16' to each side of the equation. -16 + 16 + -6x = -13 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = -13 + 16 -6x = -13 + 16 Combine like terms: -13 + 16 = 3 -6x = 3 Divide each side by '-6'. x = -0.5 Simplifying x = -0.5
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