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Simplifying 9(2x + -4) = 6(x + 2) Reorder the terms: 9(-4 + 2x) = 6(x + 2) (-4 * 9 + 2x * 9) = 6(x + 2) (-36 + 18x) = 6(x + 2) Reorder the terms: -36 + 18x = 6(2 + x) -36 + 18x = (2 * 6 + x * 6) -36 + 18x = (12 + 6x) Solving -36 + 18x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -36 + 18x + -6x = 12 + 6x + -6x Combine like terms: 18x + -6x = 12x -36 + 12x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -36 + 12x = 12 + 0 -36 + 12x = 12 Add '36' to each side of the equation. -36 + 36 + 12x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 12x = 12 + 36 12x = 12 + 36 Combine like terms: 12 + 36 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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