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Simplifying 9 = 2[2x + 3x + -4(x + 2)] Reorder the terms: 9 = 2[2x + 3x + -4(2 + x)] 9 = 2[2x + 3x + (2 * -4 + x * -4)] 9 = 2[2x + 3x + (-8 + -4x)] Reorder the terms: 9 = 2[-8 + 2x + 3x + -4x] Combine like terms: 2x + 3x = 5x 9 = 2[-8 + 5x + -4x] Combine like terms: 5x + -4x = 1x 9 = 2[-8 + 1x] 9 = [-8 * 2 + 1x * 2] 9 = [-16 + 2x] Solving 9 = -16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 9 + -2x = -16 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + -2x = -16 + 0 9 + -2x = -16 Add '-9' to each side of the equation. 9 + -9 + -2x = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -16 + -9 -2x = -16 + -9 Combine like terms: -16 + -9 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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