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Simplifying 2[x + -3] + 3[x + -2] = 18 Reorder the terms: 2[-3 + x] + 3[x + -2] = 18 [-3 * 2 + x * 2] + 3[x + -2] = 18 [-6 + 2x] + 3[x + -2] = 18 Reorder the terms: -6 + 2x + 3[-2 + x] = 18 -6 + 2x + [-2 * 3 + x * 3] = 18 -6 + 2x + [-6 + 3x] = 18 Reorder the terms: -6 + -6 + 2x + 3x = 18 Combine like terms: -6 + -6 = -12 -12 + 2x + 3x = 18 Combine like terms: 2x + 3x = 5x -12 + 5x = 18 Solving -12 + 5x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5x = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 18 + 12 5x = 18 + 12 Combine like terms: 18 + 12 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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