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Simplifying 9(x + 4) = 6(2x + 4) Reorder the terms: 9(4 + x) = 6(2x + 4) (4 * 9 + x * 9) = 6(2x + 4) (36 + 9x) = 6(2x + 4) Reorder the terms: 36 + 9x = 6(4 + 2x) 36 + 9x = (4 * 6 + 2x * 6) 36 + 9x = (24 + 12x) Solving 36 + 9x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 36 + 9x + -12x = 24 + 12x + -12x Combine like terms: 9x + -12x = -3x 36 + -3x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 36 + -3x = 24 + 0 36 + -3x = 24 Add '-36' to each side of the equation. 36 + -36 + -3x = 24 + -36 Combine like terms: 36 + -36 = 0 0 + -3x = 24 + -36 -3x = 24 + -36 Combine like terms: 24 + -36 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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