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