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Simplifying 7(x + 8) = 5x Reorder the terms: 7(8 + x) = 5x (8 * 7 + x * 7) = 5x (56 + 7x) = 5x Solving 56 + 7x = 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. 56 + 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 56 + 2x = 5x + -5x Combine like terms: 5x + -5x = 0 56 + 2x = 0 Add '-56' to each side of the equation. 56 + -56 + 2x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 2x = 0 + -56 2x = 0 + -56 Combine like terms: 0 + -56 = -56 2x = -56 Divide each side by '2'. x = -28 Simplifying x = -28
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