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Simplifying 8x + -1(4x + 6) = 2x + -22 Reorder the terms: 8x + -1(6 + 4x) = 2x + -22 8x + (6 * -1 + 4x * -1) = 2x + -22 8x + (-6 + -4x) = 2x + -22 Reorder the terms: -6 + 8x + -4x = 2x + -22 Combine like terms: 8x + -4x = 4x -6 + 4x = 2x + -22 Reorder the terms: -6 + 4x = -22 + 2x Solving -6 + 4x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 4x + -2x = -22 + 2x + -2x Combine like terms: 4x + -2x = 2x -6 + 2x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 2x = -22 + 0 -6 + 2x = -22 Add '6' to each side of the equation. -6 + 6 + 2x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = -22 + 6 2x = -22 + 6 Combine like terms: -22 + 6 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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