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Simplifying 2(4x + -5) + 20 = 5x + -8 Reorder the terms: 2(-5 + 4x) + 20 = 5x + -8 (-5 * 2 + 4x * 2) + 20 = 5x + -8 (-10 + 8x) + 20 = 5x + -8 Reorder the terms: -10 + 20 + 8x = 5x + -8 Combine like terms: -10 + 20 = 10 10 + 8x = 5x + -8 Reorder the terms: 10 + 8x = -8 + 5x Solving 10 + 8x = -8 + 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. 10 + 8x + -5x = -8 + 5x + -5x Combine like terms: 8x + -5x = 3x 10 + 3x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 3x = -8 + 0 10 + 3x = -8 Add '-10' to each side of the equation. 10 + -10 + 3x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = -8 + -10 3x = -8 + -10 Combine like terms: -8 + -10 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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