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Simplifying 9x + -39 = 3(x + 1) Reorder the terms: -39 + 9x = 3(x + 1) Reorder the terms: -39 + 9x = 3(1 + x) -39 + 9x = (1 * 3 + x * 3) -39 + 9x = (3 + 3x) Solving -39 + 9x = 3 + 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. -39 + 9x + -3x = 3 + 3x + -3x Combine like terms: 9x + -3x = 6x -39 + 6x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -39 + 6x = 3 + 0 -39 + 6x = 3 Add '39' to each side of the equation. -39 + 39 + 6x = 3 + 39 Combine like terms: -39 + 39 = 0 0 + 6x = 3 + 39 6x = 3 + 39 Combine like terms: 3 + 39 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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