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Simplifying y + 2(x + 7) = 5(x + -7) Reorder the terms: y + 2(7 + x) = 5(x + -7) y + (7 * 2 + x * 2) = 5(x + -7) y + (14 + 2x) = 5(x + -7) Reorder the terms: 14 + 2x + y = 5(x + -7) Reorder the terms: 14 + 2x + y = 5(-7 + x) 14 + 2x + y = (-7 * 5 + x * 5) 14 + 2x + y = (-35 + 5x) Solving 14 + 2x + y = -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 + y = -35 + 5x + -5x Combine like terms: 2x + -5x = -3x 14 + -3x + y = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -3x + y = -35 + 0 14 + -3x + y = -35 Add '-14' to each side of the equation. 14 + -3x + -14 + y = -35 + -14 Reorder the terms: 14 + -14 + -3x + y = -35 + -14 Combine like terms: 14 + -14 = 0 0 + -3x + y = -35 + -14 -3x + y = -35 + -14 Combine like terms: -35 + -14 = -49 -3x + y = -49 Add '-1y' to each side of the equation. -3x + y + -1y = -49 + -1y Combine like terms: y + -1y = 0 -3x + 0 = -49 + -1y -3x = -49 + -1y Divide each side by '-3'. x = 16.33333333 + 0.3333333333y Simplifying x = 16.33333333 + 0.3333333333y
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