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Simplifying 2 + -1[x + 5] = 3[3 + -1x] Reorder the terms: 2 + -1[5 + x] = 3[3 + -1x] 2 + [5 * -1 + x * -1] = 3[3 + -1x] 2 + [-5 + -1x] = 3[3 + -1x] Combine like terms: 2 + -5 = -3 -3 + -1x = 3[3 + -1x] -3 + -1x = [3 * 3 + -1x * 3] -3 + -1x = [9 + -3x] Solving -3 + -1x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -3 + -1x + 3x = 9 + -3x + 3x Combine like terms: -1x + 3x = 2x -3 + 2x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 2x = 9 + 0 -3 + 2x = 9 Add '3' to each side of the equation. -3 + 3 + 2x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 9 + 3 2x = 9 + 3 Combine like terms: 9 + 3 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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