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Simplifying 2[(x + -3) + -3(2 + -1x)] = 5x Reorder the terms: 2[(-3 + x) + -3(2 + -1x)] = 5x Remove parenthesis around (-3 + x) 2[-3 + x + -3(2 + -1x)] = 5x 2[-3 + x + (2 * -3 + -1x * -3)] = 5x 2[-3 + x + (-6 + 3x)] = 5x Reorder the terms: 2[-3 + -6 + x + 3x] = 5x Combine like terms: -3 + -6 = -9 2[-9 + x + 3x] = 5x Combine like terms: x + 3x = 4x 2[-9 + 4x] = 5x [-9 * 2 + 4x * 2] = 5x [-18 + 8x] = 5x Solving -18 + 8x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -18 + 8x + -5x = 5x + -5x Combine like terms: 8x + -5x = 3x -18 + 3x = 5x + -5x Combine like terms: 5x + -5x = 0 -18 + 3x = 0 Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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