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Simplifying 3[2x + 3] = 2[x + -4] Reorder the terms: 3[3 + 2x] = 2[x + -4] [3 * 3 + 2x * 3] = 2[x + -4] [9 + 6x] = 2[x + -4] Reorder the terms: 9 + 6x = 2[-4 + x] 9 + 6x = [-4 * 2 + x * 2] 9 + 6x = [-8 + 2x] Solving 9 + 6x = -8 + 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 + 6x + -2x = -8 + 2x + -2x Combine like terms: 6x + -2x = 4x 9 + 4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 9 + 4x = -8 + 0 9 + 4x = -8 Add '-9' to each side of the equation. 9 + -9 + 4x = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = -8 + -9 4x = -8 + -9 Combine like terms: -8 + -9 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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