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Simplifying 12(x + -2) = 22 + -2(7x + -3) Reorder the terms: 12(-2 + x) = 22 + -2(7x + -3) (-2 * 12 + x * 12) = 22 + -2(7x + -3) (-24 + 12x) = 22 + -2(7x + -3) Reorder the terms: -24 + 12x = 22 + -2(-3 + 7x) -24 + 12x = 22 + (-3 * -2 + 7x * -2) -24 + 12x = 22 + (6 + -14x) Combine like terms: 22 + 6 = 28 -24 + 12x = 28 + -14x Solving -24 + 12x = 28 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -24 + 12x + 14x = 28 + -14x + 14x Combine like terms: 12x + 14x = 26x -24 + 26x = 28 + -14x + 14x Combine like terms: -14x + 14x = 0 -24 + 26x = 28 + 0 -24 + 26x = 28 Add '24' to each side of the equation. -24 + 24 + 26x = 28 + 24 Combine like terms: -24 + 24 = 0 0 + 26x = 28 + 24 26x = 28 + 24 Combine like terms: 28 + 24 = 52 26x = 52 Divide each side by '26'. x = 2 Simplifying x = 2
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