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Simplifying [-1x + 2(x + -3)] = [-1(2x + -1) + 3] Reorder the terms: [-1x + 2(-3 + x)] = [-1(2x + -1) + 3] [-1x + (-3 * 2 + x * 2)] = [-1(2x + -1) + 3] [-1x + (-6 + 2x)] = [-1(2x + -1) + 3] Reorder the terms: [-6 + -1x + 2x] = [-1(2x + -1) + 3] Combine like terms: -1x + 2x = 1x [-6 + 1x] = [-1(2x + -1) + 3] Remove brackets around [-6 + 1x] -6 + 1x = [-1(2x + -1) + 3] Reorder the terms: -6 + 1x = [-1(-1 + 2x) + 3] -6 + 1x = [(-1 * -1 + 2x * -1) + 3] -6 + 1x = [(1 + -2x) + 3] Reorder the terms: -6 + 1x = [1 + 3 + -2x] Combine like terms: 1 + 3 = 4 -6 + 1x = [4 + -2x] Remove brackets around [4 + -2x] -6 + 1x = 4 + -2x Solving -6 + 1x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 1x + 2x = 4 + -2x + 2x Combine like terms: 1x + 2x = 3x -6 + 3x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 3x = 4 + 0 -6 + 3x = 4 Add '6' to each side of the equation. -6 + 6 + 3x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 4 + 6 3x = 4 + 6 Combine like terms: 4 + 6 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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