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Simplifying 5(x + 7) = 7 + x Reorder the terms: 5(7 + x) = 7 + x (7 * 5 + x * 5) = 7 + x (35 + 5x) = 7 + x Solving 35 + 5x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + 5x + -1x = 7 + x + -1x Combine like terms: 5x + -1x = 4x 35 + 4x = 7 + x + -1x Combine like terms: x + -1x = 0 35 + 4x = 7 + 0 35 + 4x = 7 Add '-35' to each side of the equation. 35 + -35 + 4x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 7 + -35 4x = 7 + -35 Combine like terms: 7 + -35 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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