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Simplifying 9(x + 4) = 2(x + 46) Reorder the terms: 9(4 + x) = 2(x + 46) (4 * 9 + x * 9) = 2(x + 46) (36 + 9x) = 2(x + 46) Reorder the terms: 36 + 9x = 2(46 + x) 36 + 9x = (46 * 2 + x * 2) 36 + 9x = (92 + 2x) Solving 36 + 9x = 92 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 36 + 9x + -2x = 92 + 2x + -2x Combine like terms: 9x + -2x = 7x 36 + 7x = 92 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 7x = 92 + 0 36 + 7x = 92 Add '-36' to each side of the equation. 36 + -36 + 7x = 92 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 92 + -36 7x = 92 + -36 Combine like terms: 92 + -36 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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