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Simplifying 2(x + -7) + 5x = 5(x + -2) Reorder the terms: 2(-7 + x) + 5x = 5(x + -2) (-7 * 2 + x * 2) + 5x = 5(x + -2) (-14 + 2x) + 5x = 5(x + -2) Combine like terms: 2x + 5x = 7x -14 + 7x = 5(x + -2) Reorder the terms: -14 + 7x = 5(-2 + x) -14 + 7x = (-2 * 5 + x * 5) -14 + 7x = (-10 + 5x) Solving -14 + 7x = -10 + 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 + 7x + -5x = -10 + 5x + -5x Combine like terms: 7x + -5x = 2x -14 + 2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 2x = -10 + 0 -14 + 2x = -10 Add '14' to each side of the equation. -14 + 14 + 2x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = -10 + 14 2x = -10 + 14 Combine like terms: -10 + 14 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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