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Simplifying 9(x + 6) = 5x + 46 Reorder the terms: 9(6 + x) = 5x + 46 (6 * 9 + x * 9) = 5x + 46 (54 + 9x) = 5x + 46 Reorder the terms: 54 + 9x = 46 + 5x Solving 54 + 9x = 46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 54 + 9x + -5x = 46 + 5x + -5x Combine like terms: 9x + -5x = 4x 54 + 4x = 46 + 5x + -5x Combine like terms: 5x + -5x = 0 54 + 4x = 46 + 0 54 + 4x = 46 Add '-54' to each side of the equation. 54 + -54 + 4x = 46 + -54 Combine like terms: 54 + -54 = 0 0 + 4x = 46 + -54 4x = 46 + -54 Combine like terms: 46 + -54 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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