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Simplifying 2(-4x + 5) = 5(x + 20) Reorder the terms: 2(5 + -4x) = 5(x + 20) (5 * 2 + -4x * 2) = 5(x + 20) (10 + -8x) = 5(x + 20) Reorder the terms: 10 + -8x = 5(20 + x) 10 + -8x = (20 * 5 + x * 5) 10 + -8x = (100 + 5x) Solving 10 + -8x = 100 + 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 = 100 + 5x + -5x Combine like terms: -8x + -5x = -13x 10 + -13x = 100 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -13x = 100 + 0 10 + -13x = 100 Add '-10' to each side of the equation. 10 + -10 + -13x = 100 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = 100 + -10 -13x = 100 + -10 Combine like terms: 100 + -10 = 90 -13x = 90 Divide each side by '-13'. x = -6.923076923 Simplifying x = -6.923076923
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