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Simplifying 3(x + 2) = 9(x + -4) Reorder the terms: 3(2 + x) = 9(x + -4) (2 * 3 + x * 3) = 9(x + -4) (6 + 3x) = 9(x + -4) Reorder the terms: 6 + 3x = 9(-4 + x) 6 + 3x = (-4 * 9 + x * 9) 6 + 3x = (-36 + 9x) Solving 6 + 3x = -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. 6 + 3x + -9x = -36 + 9x + -9x Combine like terms: 3x + -9x = -6x 6 + -6x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 6 + -6x = -36 + 0 6 + -6x = -36 Add '-6' to each side of the equation. 6 + -6 + -6x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -36 + -6 -6x = -36 + -6 Combine like terms: -36 + -6 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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