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Simplifying 2[x + -3] + 3[x + 1] = 7 Reorder the terms: 2[-3 + x] + 3[x + 1] = 7 [-3 * 2 + x * 2] + 3[x + 1] = 7 [-6 + 2x] + 3[x + 1] = 7 Reorder the terms: -6 + 2x + 3[1 + x] = 7 -6 + 2x + [1 * 3 + x * 3] = 7 -6 + 2x + [3 + 3x] = 7 Reorder the terms: -6 + 3 + 2x + 3x = 7 Combine like terms: -6 + 3 = -3 -3 + 2x + 3x = 7 Combine like terms: 2x + 3x = 5x -3 + 5x = 7 Solving -3 + 5x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5x = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 5x = 7 + 3 5x = 7 + 3 Combine like terms: 7 + 3 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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