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Simplifying 2(x + -7) = 3(5 + -7x) Reorder the terms: 2(-7 + x) = 3(5 + -7x) (-7 * 2 + x * 2) = 3(5 + -7x) (-14 + 2x) = 3(5 + -7x) -14 + 2x = (5 * 3 + -7x * 3) -14 + 2x = (15 + -21x) Solving -14 + 2x = 15 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -14 + 2x + 21x = 15 + -21x + 21x Combine like terms: 2x + 21x = 23x -14 + 23x = 15 + -21x + 21x Combine like terms: -21x + 21x = 0 -14 + 23x = 15 + 0 -14 + 23x = 15 Add '14' to each side of the equation. -14 + 14 + 23x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 23x = 15 + 14 23x = 15 + 14 Combine like terms: 15 + 14 = 29 23x = 29 Divide each side by '23'. x = 1.260869565 Simplifying x = 1.260869565
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