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Simplifying 5(X + -7) + -5X = 2(-2X + 1) Reorder the terms: 5(-7 + X) + -5X = 2(-2X + 1) (-7 * 5 + X * 5) + -5X = 2(-2X + 1) (-35 + 5X) + -5X = 2(-2X + 1) Combine like terms: 5X + -5X = 0 -35 + 0 = 2(-2X + 1) -35 = 2(-2X + 1) Reorder the terms: -35 = 2(1 + -2X) -35 = (1 * 2 + -2X * 2) -35 = (2 + -4X) Solving -35 = 2 + -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 + 4X = 2 + -4X + 4X Combine like terms: -4X + 4X = 0 -35 + 4X = 2 + 0 -35 + 4X = 2 Add '35' to each side of the equation. -35 + 35 + 4X = 2 + 35 Combine like terms: -35 + 35 = 0 0 + 4X = 2 + 35 4X = 2 + 35 Combine like terms: 2 + 35 = 37 4X = 37 Divide each side by '4'. X = 9.25 Simplifying X = 9.25
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