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Simplifying 47 = 14 + 3(x + 8) Reorder the terms: 47 = 14 + 3(8 + x) 47 = 14 + (8 * 3 + x * 3) 47 = 14 + (24 + 3x) Combine like terms: 14 + 24 = 38 47 = 38 + 3x Solving 47 = 38 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 47 + -3x = 38 + 3x + -3x Combine like terms: 3x + -3x = 0 47 + -3x = 38 + 0 47 + -3x = 38 Add '-47' to each side of the equation. 47 + -47 + -3x = 38 + -47 Combine like terms: 47 + -47 = 0 0 + -3x = 38 + -47 -3x = 38 + -47 Combine like terms: 38 + -47 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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