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Simplifying -48 + -7x = 9x + -5(4x + 8) Reorder the terms: -48 + -7x = 9x + -5(8 + 4x) -48 + -7x = 9x + (8 * -5 + 4x * -5) -48 + -7x = 9x + (-40 + -20x) Reorder the terms: -48 + -7x = -40 + 9x + -20x Combine like terms: 9x + -20x = -11x -48 + -7x = -40 + -11x Solving -48 + -7x = -40 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -48 + -7x + 11x = -40 + -11x + 11x Combine like terms: -7x + 11x = 4x -48 + 4x = -40 + -11x + 11x Combine like terms: -11x + 11x = 0 -48 + 4x = -40 + 0 -48 + 4x = -40 Add '48' to each side of the equation. -48 + 48 + 4x = -40 + 48 Combine like terms: -48 + 48 = 0 0 + 4x = -40 + 48 4x = -40 + 48 Combine like terms: -40 + 48 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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