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Simplifying 5(x + -8) = 3(3x + -40) Reorder the terms: 5(-8 + x) = 3(3x + -40) (-8 * 5 + x * 5) = 3(3x + -40) (-40 + 5x) = 3(3x + -40) Reorder the terms: -40 + 5x = 3(-40 + 3x) -40 + 5x = (-40 * 3 + 3x * 3) -40 + 5x = (-120 + 9x) Solving -40 + 5x = -120 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -40 + 5x + -9x = -120 + 9x + -9x Combine like terms: 5x + -9x = -4x -40 + -4x = -120 + 9x + -9x Combine like terms: 9x + -9x = 0 -40 + -4x = -120 + 0 -40 + -4x = -120 Add '40' to each side of the equation. -40 + 40 + -4x = -120 + 40 Combine like terms: -40 + 40 = 0 0 + -4x = -120 + 40 -4x = -120 + 40 Combine like terms: -120 + 40 = -80 -4x = -80 Divide each side by '-4'. x = 20 Simplifying x = 20
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