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Simplifying 46 + -11 = 5(x + -8) Combine like terms: 46 + -11 = 35 35 = 5(x + -8) Reorder the terms: 35 = 5(-8 + x) 35 = (-8 * 5 + x * 5) 35 = (-40 + 5x) Solving 35 = -40 + 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. 35 + -5x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -5x = -40 + 0 35 + -5x = -40 Add '-35' to each side of the equation. 35 + -35 + -5x = -40 + -35 Combine like terms: 35 + -35 = 0 0 + -5x = -40 + -35 -5x = -40 + -35 Combine like terms: -40 + -35 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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