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Simplifying 2[3x + -2] + -3[x + 1] = 5 Reorder the terms: 2[-2 + 3x] + -3[x + 1] = 5 [-2 * 2 + 3x * 2] + -3[x + 1] = 5 [-4 + 6x] + -3[x + 1] = 5 Reorder the terms: -4 + 6x + -3[1 + x] = 5 -4 + 6x + [1 * -3 + x * -3] = 5 -4 + 6x + [-3 + -3x] = 5 Reorder the terms: -4 + -3 + 6x + -3x = 5 Combine like terms: -4 + -3 = -7 -7 + 6x + -3x = 5 Combine like terms: 6x + -3x = 3x -7 + 3x = 5 Solving -7 + 3x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 5 + 7 3x = 5 + 7 Combine like terms: 5 + 7 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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