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Simplifying -11 + -5x = -3(x + 5) + -6 Reorder the terms: -11 + -5x = -3(5 + x) + -6 -11 + -5x = (5 * -3 + x * -3) + -6 -11 + -5x = (-15 + -3x) + -6 Reorder the terms: -11 + -5x = -15 + -6 + -3x Combine like terms: -15 + -6 = -21 -11 + -5x = -21 + -3x Solving -11 + -5x = -21 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -11 + -5x + 3x = -21 + -3x + 3x Combine like terms: -5x + 3x = -2x -11 + -2x = -21 + -3x + 3x Combine like terms: -3x + 3x = 0 -11 + -2x = -21 + 0 -11 + -2x = -21 Add '11' to each side of the equation. -11 + 11 + -2x = -21 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -21 + 11 -2x = -21 + 11 Combine like terms: -21 + 11 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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