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Simplifying 9(x + 4) = x + -2(2x + -6) Reorder the terms: 9(4 + x) = x + -2(2x + -6) (4 * 9 + x * 9) = x + -2(2x + -6) (36 + 9x) = x + -2(2x + -6) Reorder the terms: 36 + 9x = x + -2(-6 + 2x) 36 + 9x = x + (-6 * -2 + 2x * -2) 36 + 9x = x + (12 + -4x) Reorder the terms: 36 + 9x = 12 + x + -4x Combine like terms: x + -4x = -3x 36 + 9x = 12 + -3x Solving 36 + 9x = 12 + -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 + 9x + 3x = 12 + -3x + 3x Combine like terms: 9x + 3x = 12x 36 + 12x = 12 + -3x + 3x Combine like terms: -3x + 3x = 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 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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