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Simplifying 5 + 2(x + -5) = 7 + -5(x + -7) Reorder the terms: 5 + 2(-5 + x) = 7 + -5(x + -7) 5 + (-5 * 2 + x * 2) = 7 + -5(x + -7) 5 + (-10 + 2x) = 7 + -5(x + -7) Combine like terms: 5 + -10 = -5 -5 + 2x = 7 + -5(x + -7) Reorder the terms: -5 + 2x = 7 + -5(-7 + x) -5 + 2x = 7 + (-7 * -5 + x * -5) -5 + 2x = 7 + (35 + -5x) Combine like terms: 7 + 35 = 42 -5 + 2x = 42 + -5x Solving -5 + 2x = 42 + -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. -5 + 2x + 5x = 42 + -5x + 5x Combine like terms: 2x + 5x = 7x -5 + 7x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 7x = 42 + 0 -5 + 7x = 42 Add '5' to each side of the equation. -5 + 5 + 7x = 42 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 42 + 5 7x = 42 + 5 Combine like terms: 42 + 5 = 47 7x = 47 Divide each side by '7'. x = 6.714285714 Simplifying x = 6.714285714
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