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