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Simplifying -5x + -11(x + 2) = -5(3x + 6) Reorder the terms: -5x + -11(2 + x) = -5(3x + 6) -5x + (2 * -11 + x * -11) = -5(3x + 6) -5x + (-22 + -11x) = -5(3x + 6) Reorder the terms: -22 + -5x + -11x = -5(3x + 6) Combine like terms: -5x + -11x = -16x -22 + -16x = -5(3x + 6) Reorder the terms: -22 + -16x = -5(6 + 3x) -22 + -16x = (6 * -5 + 3x * -5) -22 + -16x = (-30 + -15x) Solving -22 + -16x = -30 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -22 + -16x + 15x = -30 + -15x + 15x Combine like terms: -16x + 15x = -1x -22 + -1x = -30 + -15x + 15x Combine like terms: -15x + 15x = 0 -22 + -1x = -30 + 0 -22 + -1x = -30 Add '22' to each side of the equation. -22 + 22 + -1x = -30 + 22 Combine like terms: -22 + 22 = 0 0 + -1x = -30 + 22 -1x = -30 + 22 Combine like terms: -30 + 22 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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