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Simplifying 3(X + -8) = 7(X + 1) Reorder the terms: 3(-8 + X) = 7(X + 1) (-8 * 3 + X * 3) = 7(X + 1) (-24 + 3X) = 7(X + 1) Reorder the terms: -24 + 3X = 7(1 + X) -24 + 3X = (1 * 7 + X * 7) -24 + 3X = (7 + 7X) Solving -24 + 3X = 7 + 7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7X' to each side of the equation. -24 + 3X + -7X = 7 + 7X + -7X Combine like terms: 3X + -7X = -4X -24 + -4X = 7 + 7X + -7X Combine like terms: 7X + -7X = 0 -24 + -4X = 7 + 0 -24 + -4X = 7 Add '24' to each side of the equation. -24 + 24 + -4X = 7 + 24 Combine like terms: -24 + 24 = 0 0 + -4X = 7 + 24 -4X = 7 + 24 Combine like terms: 7 + 24 = 31 -4X = 31 Divide each side by '-4'. X = -7.75 Simplifying X = -7.75
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