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Simplifying 5x + -3[x + -1(2x + 1)] = x + -6 Reorder the terms: 5x + -3[x + -1(1 + 2x)] = x + -6 5x + -3[x + (1 * -1 + 2x * -1)] = x + -6 5x + -3[x + (-1 + -2x)] = x + -6 Reorder the terms: 5x + -3[-1 + x + -2x] = x + -6 Combine like terms: x + -2x = -1x 5x + -3[-1 + -1x] = x + -6 5x + [-1 * -3 + -1x * -3] = x + -6 5x + [3 + 3x] = x + -6 Reorder the terms: 3 + 5x + 3x = x + -6 Combine like terms: 5x + 3x = 8x 3 + 8x = x + -6 Reorder the terms: 3 + 8x = -6 + x Solving 3 + 8x = -6 + 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. 3 + 8x + -1x = -6 + x + -1x Combine like terms: 8x + -1x = 7x 3 + 7x = -6 + x + -1x Combine like terms: x + -1x = 0 3 + 7x = -6 + 0 3 + 7x = -6 Add '-3' to each side of the equation. 3 + -3 + 7x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = -6 + -3 7x = -6 + -3 Combine like terms: -6 + -3 = -9 7x = -9 Divide each side by '7'. x = -1.285714286 Simplifying x = -1.285714286
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