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Simplifying 6x + 5 = 5(3x + -8) Reorder the terms: 5 + 6x = 5(3x + -8) Reorder the terms: 5 + 6x = 5(-8 + 3x) 5 + 6x = (-8 * 5 + 3x * 5) 5 + 6x = (-40 + 15x) Solving 5 + 6x = -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. 5 + 6x + -15x = -40 + 15x + -15x Combine like terms: 6x + -15x = -9x 5 + -9x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 5 + -9x = -40 + 0 5 + -9x = -40 Add '-5' to each side of the equation. 5 + -5 + -9x = -40 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -40 + -5 -9x = -40 + -5 Combine like terms: -40 + -5 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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