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Simplifying 20 = 5(3x + -8) + 10(2x + -6) Reorder the terms: 20 = 5(-8 + 3x) + 10(2x + -6) 20 = (-8 * 5 + 3x * 5) + 10(2x + -6) 20 = (-40 + 15x) + 10(2x + -6) Reorder the terms: 20 = -40 + 15x + 10(-6 + 2x) 20 = -40 + 15x + (-6 * 10 + 2x * 10) 20 = -40 + 15x + (-60 + 20x) Reorder the terms: 20 = -40 + -60 + 15x + 20x Combine like terms: -40 + -60 = -100 20 = -100 + 15x + 20x Combine like terms: 15x + 20x = 35x 20 = -100 + 35x Solving 20 = -100 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 20 + -35x = -100 + 35x + -35x Combine like terms: 35x + -35x = 0 20 + -35x = -100 + 0 20 + -35x = -100 Add '-20' to each side of the equation. 20 + -20 + -35x = -100 + -20 Combine like terms: 20 + -20 = 0 0 + -35x = -100 + -20 -35x = -100 + -20 Combine like terms: -100 + -20 = -120 -35x = -120 Divide each side by '-35'. x = 3.428571429 Simplifying x = 3.428571429
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