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Simplifying -22 + 6x = -5(3x + 8) Reorder the terms: -22 + 6x = -5(8 + 3x) -22 + 6x = (8 * -5 + 3x * -5) -22 + 6x = (-40 + -15x) Solving -22 + 6x = -40 + -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 + 6x + 15x = -40 + -15x + 15x Combine like terms: 6x + 15x = 21x -22 + 21x = -40 + -15x + 15x Combine like terms: -15x + 15x = 0 -22 + 21x = -40 + 0 -22 + 21x = -40 Add '22' to each side of the equation. -22 + 22 + 21x = -40 + 22 Combine like terms: -22 + 22 = 0 0 + 21x = -40 + 22 21x = -40 + 22 Combine like terms: -40 + 22 = -18 21x = -18 Divide each side by '21'. x = -0.8571428571 Simplifying x = -0.8571428571
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