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Simplifying 5x + 4(x + -13) = 5(x + -8) Reorder the terms: 5x + 4(-13 + x) = 5(x + -8) 5x + (-13 * 4 + x * 4) = 5(x + -8) 5x + (-52 + 4x) = 5(x + -8) Reorder the terms: -52 + 5x + 4x = 5(x + -8) Combine like terms: 5x + 4x = 9x -52 + 9x = 5(x + -8) Reorder the terms: -52 + 9x = 5(-8 + x) -52 + 9x = (-8 * 5 + x * 5) -52 + 9x = (-40 + 5x) Solving -52 + 9x = -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. -52 + 9x + -5x = -40 + 5x + -5x Combine like terms: 9x + -5x = 4x -52 + 4x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -52 + 4x = -40 + 0 -52 + 4x = -40 Add '52' to each side of the equation. -52 + 52 + 4x = -40 + 52 Combine like terms: -52 + 52 = 0 0 + 4x = -40 + 52 4x = -40 + 52 Combine like terms: -40 + 52 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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