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Simplifying 2(x + 7) = 5(x + -4) Reorder the terms: 2(7 + x) = 5(x + -4) (7 * 2 + x * 2) = 5(x + -4) (14 + 2x) = 5(x + -4) Reorder the terms: 14 + 2x = 5(-4 + x) 14 + 2x = (-4 * 5 + x * 5) 14 + 2x = (-20 + 5x) Solving 14 + 2x = -20 + 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 = -20 + 5x + -5x Combine like terms: 2x + -5x = -3x 14 + -3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -3x = -20 + 0 14 + -3x = -20 Add '-14' to each side of the equation. 14 + -14 + -3x = -20 + -14 Combine like terms: 14 + -14 = 0 0 + -3x = -20 + -14 -3x = -20 + -14 Combine like terms: -20 + -14 = -34 -3x = -34 Divide each side by '-3'. x = 11.33333333 Simplifying x = 11.33333333
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