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Simplifying 5(x + -7) = 3(7 + -2x) Reorder the terms: 5(-7 + x) = 3(7 + -2x) (-7 * 5 + x * 5) = 3(7 + -2x) (-35 + 5x) = 3(7 + -2x) -35 + 5x = (7 * 3 + -2x * 3) -35 + 5x = (21 + -6x) Solving -35 + 5x = 21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -35 + 5x + 6x = 21 + -6x + 6x Combine like terms: 5x + 6x = 11x -35 + 11x = 21 + -6x + 6x Combine like terms: -6x + 6x = 0 -35 + 11x = 21 + 0 -35 + 11x = 21 Add '35' to each side of the equation. -35 + 35 + 11x = 21 + 35 Combine like terms: -35 + 35 = 0 0 + 11x = 21 + 35 11x = 21 + 35 Combine like terms: 21 + 35 = 56 11x = 56 Divide each side by '11'. x = 5.090909091 Simplifying x = 5.090909091
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