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Simplifying 8x + 46 = 5(x + 5) Reorder the terms: 46 + 8x = 5(x + 5) Reorder the terms: 46 + 8x = 5(5 + x) 46 + 8x = (5 * 5 + x * 5) 46 + 8x = (25 + 5x) Solving 46 + 8x = 25 + 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 + 8x + -5x = 25 + 5x + -5x Combine like terms: 8x + -5x = 3x 46 + 3x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 46 + 3x = 25 + 0 46 + 3x = 25 Add '-46' to each side of the equation. 46 + -46 + 3x = 25 + -46 Combine like terms: 46 + -46 = 0 0 + 3x = 25 + -46 3x = 25 + -46 Combine like terms: 25 + -46 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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