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Simplifying 4x + 47 = 3(3x + 9) Reorder the terms: 47 + 4x = 3(3x + 9) Reorder the terms: 47 + 4x = 3(9 + 3x) 47 + 4x = (9 * 3 + 3x * 3) 47 + 4x = (27 + 9x) Solving 47 + 4x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 47 + 4x + -9x = 27 + 9x + -9x Combine like terms: 4x + -9x = -5x 47 + -5x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 47 + -5x = 27 + 0 47 + -5x = 27 Add '-47' to each side of the equation. 47 + -47 + -5x = 27 + -47 Combine like terms: 47 + -47 = 0 0 + -5x = 27 + -47 -5x = 27 + -47 Combine like terms: 27 + -47 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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