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Simplifying 2(3x + 4) = 5(-2r + -8) Reorder the terms: 2(4 + 3x) = 5(-2r + -8) (4 * 2 + 3x * 2) = 5(-2r + -8) (8 + 6x) = 5(-2r + -8) Reorder the terms: 8 + 6x = 5(-8 + -2r) 8 + 6x = (-8 * 5 + -2r * 5) 8 + 6x = (-40 + -10r) Solving 8 + 6x = -40 + -10r Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = -40 + -8 + -10r Combine like terms: 8 + -8 = 0 0 + 6x = -40 + -8 + -10r 6x = -40 + -8 + -10r Combine like terms: -40 + -8 = -48 6x = -48 + -10r Divide each side by '6'. x = -8 + -1.666666667r Simplifying x = -8 + -1.666666667r
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