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Simplifying -5(X + -7) = 30 + -2(2X + 1) Reorder the terms: -5(-7 + X) = 30 + -2(2X + 1) (-7 * -5 + X * -5) = 30 + -2(2X + 1) (35 + -5X) = 30 + -2(2X + 1) Reorder the terms: 35 + -5X = 30 + -2(1 + 2X) 35 + -5X = 30 + (1 * -2 + 2X * -2) 35 + -5X = 30 + (-2 + -4X) Combine like terms: 30 + -2 = 28 35 + -5X = 28 + -4X Solving 35 + -5X = 28 + -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 = 28 + -4X + 4X Combine like terms: -5X + 4X = -1X 35 + -1X = 28 + -4X + 4X Combine like terms: -4X + 4X = 0 35 + -1X = 28 + 0 35 + -1X = 28 Add '-35' to each side of the equation. 35 + -35 + -1X = 28 + -35 Combine like terms: 35 + -35 = 0 0 + -1X = 28 + -35 -1X = 28 + -35 Combine like terms: 28 + -35 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7
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