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Simplifying 9x + 46 = 5(6 + x) Reorder the terms: 46 + 9x = 5(6 + x) 46 + 9x = (6 * 5 + x * 5) 46 + 9x = (30 + 5x) Solving 46 + 9x = 30 + 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. 46 + 9x + -5x = 30 + 5x + -5x Combine like terms: 9x + -5x = 4x 46 + 4x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + 4x = 30 + 0 46 + 4x = 30 Add '-46' to each side of the equation. 46 + -46 + 4x = 30 + -46 Combine like terms: 46 + -46 = 0 0 + 4x = 30 + -46 4x = 30 + -46 Combine like terms: 30 + -46 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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