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Simplifying 3[5x + 2] = 2[3x + -6] Reorder the terms: 3[2 + 5x] = 2[3x + -6] [2 * 3 + 5x * 3] = 2[3x + -6] [6 + 15x] = 2[3x + -6] Reorder the terms: 6 + 15x = 2[-6 + 3x] 6 + 15x = [-6 * 2 + 3x * 2] 6 + 15x = [-12 + 6x] Solving 6 + 15x = -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. 6 + 15x + -6x = -12 + 6x + -6x Combine like terms: 15x + -6x = 9x 6 + 9x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 9x = -12 + 0 6 + 9x = -12 Add '-6' to each side of the equation. 6 + -6 + 9x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -12 + -6 9x = -12 + -6 Combine like terms: -12 + -6 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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