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Simplifying 5(X + -7) = 3(X + -4) + -13 Reorder the terms: 5(-7 + X) = 3(X + -4) + -13 (-7 * 5 + X * 5) = 3(X + -4) + -13 (-35 + 5X) = 3(X + -4) + -13 Reorder the terms: -35 + 5X = 3(-4 + X) + -13 -35 + 5X = (-4 * 3 + X * 3) + -13 -35 + 5X = (-12 + 3X) + -13 Reorder the terms: -35 + 5X = -12 + -13 + 3X Combine like terms: -12 + -13 = -25 -35 + 5X = -25 + 3X Solving -35 + 5X = -25 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -35 + 5X + -3X = -25 + 3X + -3X Combine like terms: 5X + -3X = 2X -35 + 2X = -25 + 3X + -3X Combine like terms: 3X + -3X = 0 -35 + 2X = -25 + 0 -35 + 2X = -25 Add '35' to each side of the equation. -35 + 35 + 2X = -25 + 35 Combine like terms: -35 + 35 = 0 0 + 2X = -25 + 35 2X = -25 + 35 Combine like terms: -25 + 35 = 10 2X = 10 Divide each side by '2'. X = 5 Simplifying X = 5
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