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Simplifying 5(x + -7) = 2(2 + -2x) Reorder the terms: 5(-7 + x) = 2(2 + -2x) (-7 * 5 + x * 5) = 2(2 + -2x) (-35 + 5x) = 2(2 + -2x) -35 + 5x = (2 * 2 + -2x * 2) -35 + 5x = (4 + -4x) Solving -35 + 5x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -35 + 5x + 4x = 4 + -4x + 4x Combine like terms: 5x + 4x = 9x -35 + 9x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 -35 + 9x = 4 + 0 -35 + 9x = 4 Add '35' to each side of the equation. -35 + 35 + 9x = 4 + 35 Combine like terms: -35 + 35 = 0 0 + 9x = 4 + 35 9x = 4 + 35 Combine like terms: 4 + 35 = 39 9x = 39 Divide each side by '9'. x = 4.333333333 Simplifying x = 4.333333333
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