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Simplifying 34(x + -2) = 26(x + 2) Reorder the terms: 34(-2 + x) = 26(x + 2) (-2 * 34 + x * 34) = 26(x + 2) (-68 + 34x) = 26(x + 2) Reorder the terms: -68 + 34x = 26(2 + x) -68 + 34x = (2 * 26 + x * 26) -68 + 34x = (52 + 26x) Solving -68 + 34x = 52 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. -68 + 34x + -26x = 52 + 26x + -26x Combine like terms: 34x + -26x = 8x -68 + 8x = 52 + 26x + -26x Combine like terms: 26x + -26x = 0 -68 + 8x = 52 + 0 -68 + 8x = 52 Add '68' to each side of the equation. -68 + 68 + 8x = 52 + 68 Combine like terms: -68 + 68 = 0 0 + 8x = 52 + 68 8x = 52 + 68 Combine like terms: 52 + 68 = 120 8x = 120 Divide each side by '8'. x = 15 Simplifying x = 15
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