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Simplifying 4x + 20 = 5(2x + -8) Reorder the terms: 20 + 4x = 5(2x + -8) Reorder the terms: 20 + 4x = 5(-8 + 2x) 20 + 4x = (-8 * 5 + 2x * 5) 20 + 4x = (-40 + 10x) Solving 20 + 4x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 20 + 4x + -10x = -40 + 10x + -10x Combine like terms: 4x + -10x = -6x 20 + -6x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -6x = -40 + 0 20 + -6x = -40 Add '-20' to each side of the equation. 20 + -20 + -6x = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = -40 + -20 -6x = -40 + -20 Combine like terms: -40 + -20 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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