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Simplifying -8(x + 1) = -6x + -22 Reorder the terms: -8(1 + x) = -6x + -22 (1 * -8 + x * -8) = -6x + -22 (-8 + -8x) = -6x + -22 Reorder the terms: -8 + -8x = -22 + -6x Solving -8 + -8x = -22 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + -8x + 6x = -22 + -6x + 6x Combine like terms: -8x + 6x = -2x -8 + -2x = -22 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + -2x = -22 + 0 -8 + -2x = -22 Add '8' to each side of the equation. -8 + 8 + -2x = -22 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -22 + 8 -2x = -22 + 8 Combine like terms: -22 + 8 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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