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Simplifying 7 + 2(x + -7) = 11 + -5(x + -2) Reorder the terms: 7 + 2(-7 + x) = 11 + -5(x + -2) 7 + (-7 * 2 + x * 2) = 11 + -5(x + -2) 7 + (-14 + 2x) = 11 + -5(x + -2) Combine like terms: 7 + -14 = -7 -7 + 2x = 11 + -5(x + -2) Reorder the terms: -7 + 2x = 11 + -5(-2 + x) -7 + 2x = 11 + (-2 * -5 + x * -5) -7 + 2x = 11 + (10 + -5x) Combine like terms: 11 + 10 = 21 -7 + 2x = 21 + -5x Solving -7 + 2x = 21 + -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. -7 + 2x + 5x = 21 + -5x + 5x Combine like terms: 2x + 5x = 7x -7 + 7x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 7x = 21 + 0 -7 + 7x = 21 Add '7' to each side of the equation. -7 + 7 + 7x = 21 + 7 Combine like terms: -7 + 7 = 0 0 + 7x = 21 + 7 7x = 21 + 7 Combine like terms: 21 + 7 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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