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Simplifying 12(x + -1) = 52 + -14(x + -1) Reorder the terms: 12(-1 + x) = 52 + -14(x + -1) (-1 * 12 + x * 12) = 52 + -14(x + -1) (-12 + 12x) = 52 + -14(x + -1) Reorder the terms: -12 + 12x = 52 + -14(-1 + x) -12 + 12x = 52 + (-1 * -14 + x * -14) -12 + 12x = 52 + (14 + -14x) Combine like terms: 52 + 14 = 66 -12 + 12x = 66 + -14x Solving -12 + 12x = 66 + -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. -12 + 12x + 14x = 66 + -14x + 14x Combine like terms: 12x + 14x = 26x -12 + 26x = 66 + -14x + 14x Combine like terms: -14x + 14x = 0 -12 + 26x = 66 + 0 -12 + 26x = 66 Add '12' to each side of the equation. -12 + 12 + 26x = 66 + 12 Combine like terms: -12 + 12 = 0 0 + 26x = 66 + 12 26x = 66 + 12 Combine like terms: 66 + 12 = 78 26x = 78 Divide each side by '26'. x = 3 Simplifying x = 3
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