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Simplifying 2(x + 3) + -5[4 + -1(x + -6)] = x + 2 Reorder the terms: 2(3 + x) + -5[4 + -1(x + -6)] = x + 2 (3 * 2 + x * 2) + -5[4 + -1(x + -6)] = x + 2 (6 + 2x) + -5[4 + -1(x + -6)] = x + 2 Reorder the terms: 6 + 2x + -5[4 + -1(-6 + x)] = x + 2 6 + 2x + -5[4 + (-6 * -1 + x * -1)] = x + 2 6 + 2x + -5[4 + (6 + -1x)] = x + 2 Combine like terms: 4 + 6 = 10 6 + 2x + -5[10 + -1x] = x + 2 6 + 2x + [10 * -5 + -1x * -5] = x + 2 6 + 2x + [-50 + 5x] = x + 2 Reorder the terms: 6 + -50 + 2x + 5x = x + 2 Combine like terms: 6 + -50 = -44 -44 + 2x + 5x = x + 2 Combine like terms: 2x + 5x = 7x -44 + 7x = x + 2 Reorder the terms: -44 + 7x = 2 + x Solving -44 + 7x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -44 + 7x + -1x = 2 + x + -1x Combine like terms: 7x + -1x = 6x -44 + 6x = 2 + x + -1x Combine like terms: x + -1x = 0 -44 + 6x = 2 + 0 -44 + 6x = 2 Add '44' to each side of the equation. -44 + 44 + 6x = 2 + 44 Combine like terms: -44 + 44 = 0 0 + 6x = 2 + 44 6x = 2 + 44 Combine like terms: 2 + 44 = 46 6x = 46 Divide each side by '6'. x = 7.666666667 Simplifying x = 7.666666667
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