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Simplifying 2 + 2(x + -2) = 3 + -5(x + -7) Reorder the terms: 2 + 2(-2 + x) = 3 + -5(x + -7) 2 + (-2 * 2 + x * 2) = 3 + -5(x + -7) 2 + (-4 + 2x) = 3 + -5(x + -7) Combine like terms: 2 + -4 = -2 -2 + 2x = 3 + -5(x + -7) Reorder the terms: -2 + 2x = 3 + -5(-7 + x) -2 + 2x = 3 + (-7 * -5 + x * -5) -2 + 2x = 3 + (35 + -5x) Combine like terms: 3 + 35 = 38 -2 + 2x = 38 + -5x Solving -2 + 2x = 38 + -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. -2 + 2x + 5x = 38 + -5x + 5x Combine like terms: 2x + 5x = 7x -2 + 7x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 7x = 38 + 0 -2 + 7x = 38 Add '2' to each side of the equation. -2 + 2 + 7x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 38 + 2 7x = 38 + 2 Combine like terms: 38 + 2 = 40 7x = 40 Divide each side by '7'. x = 5.714285714 Simplifying x = 5.714285714
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