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Simplifying -22 + -8x = -7(4x + 6) Reorder the terms: -22 + -8x = -7(6 + 4x) -22 + -8x = (6 * -7 + 4x * -7) -22 + -8x = (-42 + -28x) Solving -22 + -8x = -42 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -22 + -8x + 28x = -42 + -28x + 28x Combine like terms: -8x + 28x = 20x -22 + 20x = -42 + -28x + 28x Combine like terms: -28x + 28x = 0 -22 + 20x = -42 + 0 -22 + 20x = -42 Add '22' to each side of the equation. -22 + 22 + 20x = -42 + 22 Combine like terms: -22 + 22 = 0 0 + 20x = -42 + 22 20x = -42 + 22 Combine like terms: -42 + 22 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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