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Simplifying 6 + -2[x + -5(x + 3)] = 20 Reorder the terms: 6 + -2[x + -5(3 + x)] = 20 6 + -2[x + (3 * -5 + x * -5)] = 20 6 + -2[x + (-15 + -5x)] = 20 Reorder the terms: 6 + -2[-15 + x + -5x] = 20 Combine like terms: x + -5x = -4x 6 + -2[-15 + -4x] = 20 6 + [-15 * -2 + -4x * -2] = 20 6 + [30 + 8x] = 20 Combine like terms: 6 + 30 = 36 36 + 8x = 20 Solving 36 + 8x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 8x = 20 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 20 + -36 8x = 20 + -36 Combine like terms: 20 + -36 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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