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Simplifying 2(3x + 4) = 3x + 2[3x + -10 + 2] Reorder the terms: 2(4 + 3x) = 3x + 2[3x + -10 + 2] (4 * 2 + 3x * 2) = 3x + 2[3x + -10 + 2] (8 + 6x) = 3x + 2[3x + -10 + 2] Reorder the terms: 8 + 6x = 3x + 2[-10 + 2 + 3x] Combine like terms: -10 + 2 = -8 8 + 6x = 3x + 2[-8 + 3x] 8 + 6x = 3x + [-8 * 2 + 3x * 2] 8 + 6x = 3x + [-16 + 6x] Reorder the terms: 8 + 6x = -16 + 3x + 6x Combine like terms: 3x + 6x = 9x 8 + 6x = -16 + 9x Solving 8 + 6x = -16 + 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. 8 + 6x + -9x = -16 + 9x + -9x Combine like terms: 6x + -9x = -3x 8 + -3x = -16 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -3x = -16 + 0 8 + -3x = -16 Add '-8' to each side of the equation. 8 + -8 + -3x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -16 + -8 -3x = -16 + -8 Combine like terms: -16 + -8 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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