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Simplifying 7(X + -4) = 5(X + 8) Reorder the terms: 7(-4 + X) = 5(X + 8) (-4 * 7 + X * 7) = 5(X + 8) (-28 + 7X) = 5(X + 8) Reorder the terms: -28 + 7X = 5(8 + X) -28 + 7X = (8 * 5 + X * 5) -28 + 7X = (40 + 5X) Solving -28 + 7X = 40 + 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. -28 + 7X + -5X = 40 + 5X + -5X Combine like terms: 7X + -5X = 2X -28 + 2X = 40 + 5X + -5X Combine like terms: 5X + -5X = 0 -28 + 2X = 40 + 0 -28 + 2X = 40 Add '28' to each side of the equation. -28 + 28 + 2X = 40 + 28 Combine like terms: -28 + 28 = 0 0 + 2X = 40 + 28 2X = 40 + 28 Combine like terms: 40 + 28 = 68 2X = 68 Divide each side by '2'. X = 34 Simplifying X = 34
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