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Simplifying 2(3x + -6) + -3(5x + 4) = 5(7x + -8) Reorder the terms: 2(-6 + 3x) + -3(5x + 4) = 5(7x + -8) (-6 * 2 + 3x * 2) + -3(5x + 4) = 5(7x + -8) (-12 + 6x) + -3(5x + 4) = 5(7x + -8) Reorder the terms: -12 + 6x + -3(4 + 5x) = 5(7x + -8) -12 + 6x + (4 * -3 + 5x * -3) = 5(7x + -8) -12 + 6x + (-12 + -15x) = 5(7x + -8) Reorder the terms: -12 + -12 + 6x + -15x = 5(7x + -8) Combine like terms: -12 + -12 = -24 -24 + 6x + -15x = 5(7x + -8) Combine like terms: 6x + -15x = -9x -24 + -9x = 5(7x + -8) Reorder the terms: -24 + -9x = 5(-8 + 7x) -24 + -9x = (-8 * 5 + 7x * 5) -24 + -9x = (-40 + 35x) Solving -24 + -9x = -40 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -24 + -9x + -35x = -40 + 35x + -35x Combine like terms: -9x + -35x = -44x -24 + -44x = -40 + 35x + -35x Combine like terms: 35x + -35x = 0 -24 + -44x = -40 + 0 -24 + -44x = -40 Add '24' to each side of the equation. -24 + 24 + -44x = -40 + 24 Combine like terms: -24 + 24 = 0 0 + -44x = -40 + 24 -44x = -40 + 24 Combine like terms: -40 + 24 = -16 -44x = -16 Divide each side by '-44'. x = 0.3636363636 Simplifying x = 0.3636363636
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