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Simplifying -2(x + 5) = 22 + 6x Reorder the terms: -2(5 + x) = 22 + 6x (5 * -2 + x * -2) = 22 + 6x (-10 + -2x) = 22 + 6x Solving -10 + -2x = 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. -10 + -2x + -6x = 22 + 6x + -6x Combine like terms: -2x + -6x = -8x -10 + -8x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -8x = 22 + 0 -10 + -8x = 22 Add '10' to each side of the equation. -10 + 10 + -8x = 22 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 22 + 10 -8x = 22 + 10 Combine like terms: 22 + 10 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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