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Simplifying -4(-5 + -3x) = 14 + 5(x + -10) + 2 (-5 * -4 + -3x * -4) = 14 + 5(x + -10) + 2 (20 + 12x) = 14 + 5(x + -10) + 2 Reorder the terms: 20 + 12x = 14 + 5(-10 + x) + 2 20 + 12x = 14 + (-10 * 5 + x * 5) + 2 20 + 12x = 14 + (-50 + 5x) + 2 Reorder the terms: 20 + 12x = 14 + -50 + 2 + 5x Combine like terms: 14 + -50 = -36 20 + 12x = -36 + 2 + 5x Combine like terms: -36 + 2 = -34 20 + 12x = -34 + 5x Solving 20 + 12x = -34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + 12x + -5x = -34 + 5x + -5x Combine like terms: 12x + -5x = 7x 20 + 7x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + 7x = -34 + 0 20 + 7x = -34 Add '-20' to each side of the equation. 20 + -20 + 7x = -34 + -20 Combine like terms: 20 + -20 = 0 0 + 7x = -34 + -20 7x = -34 + -20 Combine like terms: -34 + -20 = -54 7x = -54 Divide each side by '7'. x = -7.714285714 Simplifying x = -7.714285714
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