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Simplifying -3[2 + -5(x + 7)] + 20 = 14 Reorder the terms: -3[2 + -5(7 + x)] + 20 = 14 -3[2 + (7 * -5 + x * -5)] + 20 = 14 -3[2 + (-35 + -5x)] + 20 = 14 Combine like terms: 2 + -35 = -33 -3[-33 + -5x] + 20 = 14 [-33 * -3 + -5x * -3] + 20 = 14 [99 + 15x] + 20 = 14 Reorder the terms: 99 + 20 + 15x = 14 Combine like terms: 99 + 20 = 119 119 + 15x = 14 Solving 119 + 15x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-119' to each side of the equation. 119 + -119 + 15x = 14 + -119 Combine like terms: 119 + -119 = 0 0 + 15x = 14 + -119 15x = 14 + -119 Combine like terms: 14 + -119 = -105 15x = -105 Divide each side by '15'. x = -7 Simplifying x = -7
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