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Simplifying 9(2x + 4) = -3(x + 2) Reorder the terms: 9(4 + 2x) = -3(x + 2) (4 * 9 + 2x * 9) = -3(x + 2) (36 + 18x) = -3(x + 2) Reorder the terms: 36 + 18x = -3(2 + x) 36 + 18x = (2 * -3 + x * -3) 36 + 18x = (-6 + -3x) Solving 36 + 18x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 36 + 18x + 3x = -6 + -3x + 3x Combine like terms: 18x + 3x = 21x 36 + 21x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 36 + 21x = -6 + 0 36 + 21x = -6 Add '-36' to each side of the equation. 36 + -36 + 21x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + 21x = -6 + -36 21x = -6 + -36 Combine like terms: -6 + -36 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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