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Simplifying 5(X + -1) = 94 + -2(X + 4) Reorder the terms: 5(-1 + X) = 94 + -2(X + 4) (-1 * 5 + X * 5) = 94 + -2(X + 4) (-5 + 5X) = 94 + -2(X + 4) Reorder the terms: -5 + 5X = 94 + -2(4 + X) -5 + 5X = 94 + (4 * -2 + X * -2) -5 + 5X = 94 + (-8 + -2X) Combine like terms: 94 + -8 = 86 -5 + 5X = 86 + -2X Solving -5 + 5X = 86 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. -5 + 5X + 2X = 86 + -2X + 2X Combine like terms: 5X + 2X = 7X -5 + 7X = 86 + -2X + 2X Combine like terms: -2X + 2X = 0 -5 + 7X = 86 + 0 -5 + 7X = 86 Add '5' to each side of the equation. -5 + 5 + 7X = 86 + 5 Combine like terms: -5 + 5 = 0 0 + 7X = 86 + 5 7X = 86 + 5 Combine like terms: 86 + 5 = 91 7X = 91 Divide each side by '7'. X = 13 Simplifying X = 13
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