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Simplifying 2[7x + -6] = 3[1 + 3x] Reorder the terms: 2[-6 + 7x] = 3[1 + 3x] [-6 * 2 + 7x * 2] = 3[1 + 3x] [-12 + 14x] = 3[1 + 3x] -12 + 14x = [1 * 3 + 3x * 3] -12 + 14x = [3 + 9x] Solving -12 + 14x = 3 + 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. -12 + 14x + -9x = 3 + 9x + -9x Combine like terms: 14x + -9x = 5x -12 + 5x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + 5x = 3 + 0 -12 + 5x = 3 Add '12' to each side of the equation. -12 + 12 + 5x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 3 + 12 5x = 3 + 12 Combine like terms: 3 + 12 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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