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