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Simplifying -3(5x + -4) + -2(3 + -2x) = (-40 + -10)(-1) Reorder the terms: -3(-4 + 5x) + -2(3 + -2x) = (-40 + -10)(-1) (-4 * -3 + 5x * -3) + -2(3 + -2x) = (-40 + -10)(-1) (12 + -15x) + -2(3 + -2x) = (-40 + -10)(-1) 12 + -15x + (3 * -2 + -2x * -2) = (-40 + -10)(-1) 12 + -15x + (-6 + 4x) = (-40 + -10)(-1) Reorder the terms: 12 + -6 + -15x + 4x = (-40 + -10)(-1) Combine like terms: 12 + -6 = 6 6 + -15x + 4x = (-40 + -10)(-1) Combine like terms: -15x + 4x = -11x 6 + -11x = (-40 + -10)(-1) Combine like terms: -40 + -10 = -50 6 + -11x = (-50)(-1) Multiply -50 * -1 6 + -11x = 50 Solving 6 + -11x = 50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -11x = 50 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = 50 + -6 -11x = 50 + -6 Combine like terms: 50 + -6 = 44 -11x = 44 Divide each side by '-11'. x = -4 Simplifying x = -4
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