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Simplifying 2(15x + -12) = 5(10x + -8) Reorder the terms: 2(-12 + 15x) = 5(10x + -8) (-12 * 2 + 15x * 2) = 5(10x + -8) (-24 + 30x) = 5(10x + -8) Reorder the terms: -24 + 30x = 5(-8 + 10x) -24 + 30x = (-8 * 5 + 10x * 5) -24 + 30x = (-40 + 50x) Solving -24 + 30x = -40 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -24 + 30x + -50x = -40 + 50x + -50x Combine like terms: 30x + -50x = -20x -24 + -20x = -40 + 50x + -50x Combine like terms: 50x + -50x = 0 -24 + -20x = -40 + 0 -24 + -20x = -40 Add '24' to each side of the equation. -24 + 24 + -20x = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -20x = -40 + 24 -20x = -40 + 24 Combine like terms: -40 + 24 = -16 -20x = -16 Divide each side by '-20'. x = 0.8 Simplifying x = 0.8
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