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