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Simplifying 4x + 5(-3x + -8) = 15 Reorder the terms: 4x + 5(-8 + -3x) = 15 4x + (-8 * 5 + -3x * 5) = 15 4x + (-40 + -15x) = 15 Reorder the terms: -40 + 4x + -15x = 15 Combine like terms: 4x + -15x = -11x -40 + -11x = 15 Solving -40 + -11x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -11x = 15 + 40 Combine like terms: -40 + 40 = 0 0 + -11x = 15 + 40 -11x = 15 + 40 Combine like terms: 15 + 40 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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