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Simplifying 2(x + 7) = 5(x + -7) Reorder the terms: 2(7 + x) = 5(x + -7) (7 * 2 + x * 2) = 5(x + -7) (14 + 2x) = 5(x + -7) Reorder the terms: 14 + 2x = 5(-7 + x) 14 + 2x = (-7 * 5 + x * 5) 14 + 2x = (-35 + 5x) Solving 14 + 2x = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 2x + -5x = -35 + 5x + -5x Combine like terms: 2x + -5x = -3x 14 + -3x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -3x = -35 + 0 14 + -3x = -35 Add '-14' to each side of the equation. 14 + -14 + -3x = -35 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -35 + -14 -3x = -35 + -14 Combine like terms: -35 + -14 = -49 -3x = -49 Divide each side by '-3'. x = 16.33333333 Simplifying x = 16.33333333
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