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Simplifying 7(3x + -5) = 5(3x + -8) Reorder the terms: 7(-5 + 3x) = 5(3x + -8) (-5 * 7 + 3x * 7) = 5(3x + -8) (-35 + 21x) = 5(3x + -8) Reorder the terms: -35 + 21x = 5(-8 + 3x) -35 + 21x = (-8 * 5 + 3x * 5) -35 + 21x = (-40 + 15x) Solving -35 + 21x = -40 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -35 + 21x + -15x = -40 + 15x + -15x Combine like terms: 21x + -15x = 6x -35 + 6x = -40 + 15x + -15x Combine like terms: 15x + -15x = 0 -35 + 6x = -40 + 0 -35 + 6x = -40 Add '35' to each side of the equation. -35 + 35 + 6x = -40 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = -40 + 35 6x = -40 + 35 Combine like terms: -40 + 35 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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