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Simplifying 2(x + -3) = -5(x + -7) Reorder the terms: 2(-3 + x) = -5(x + -7) (-3 * 2 + x * 2) = -5(x + -7) (-6 + 2x) = -5(x + -7) Reorder the terms: -6 + 2x = -5(-7 + x) -6 + 2x = (-7 * -5 + x * -5) -6 + 2x = (35 + -5x) Solving -6 + 2x = 35 + -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. -6 + 2x + 5x = 35 + -5x + 5x Combine like terms: 2x + 5x = 7x -6 + 7x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 7x = 35 + 0 -6 + 7x = 35 Add '6' to each side of the equation. -6 + 6 + 7x = 35 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 35 + 6 7x = 35 + 6 Combine like terms: 35 + 6 = 41 7x = 41 Divide each side by '7'. x = 5.857142857 Simplifying x = 5.857142857
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