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Simplifying 5(x + 7) = x + 47 Reorder the terms: 5(7 + x) = x + 47 (7 * 5 + x * 5) = x + 47 (35 + 5x) = x + 47 Reorder the terms: 35 + 5x = 47 + x Solving 35 + 5x = 47 + 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 = 47 + x + -1x Combine like terms: 5x + -1x = 4x 35 + 4x = 47 + x + -1x Combine like terms: x + -1x = 0 35 + 4x = 47 + 0 35 + 4x = 47 Add '-35' to each side of the equation. 35 + -35 + 4x = 47 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 47 + -35 4x = 47 + -35 Combine like terms: 47 + -35 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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