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Simplifying 4x + 39 = 9(x + 1) Reorder the terms: 39 + 4x = 9(x + 1) Reorder the terms: 39 + 4x = 9(1 + x) 39 + 4x = (1 * 9 + x * 9) 39 + 4x = (9 + 9x) Solving 39 + 4x = 9 + 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. 39 + 4x + -9x = 9 + 9x + -9x Combine like terms: 4x + -9x = -5x 39 + -5x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 39 + -5x = 9 + 0 39 + -5x = 9 Add '-39' to each side of the equation. 39 + -39 + -5x = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -5x = 9 + -39 -5x = 9 + -39 Combine like terms: 9 + -39 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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