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Simplifying 3(8x + -15) = -2(3x + 40) Reorder the terms: 3(-15 + 8x) = -2(3x + 40) (-15 * 3 + 8x * 3) = -2(3x + 40) (-45 + 24x) = -2(3x + 40) Reorder the terms: -45 + 24x = -2(40 + 3x) -45 + 24x = (40 * -2 + 3x * -2) -45 + 24x = (-80 + -6x) Solving -45 + 24x = -80 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -45 + 24x + 6x = -80 + -6x + 6x Combine like terms: 24x + 6x = 30x -45 + 30x = -80 + -6x + 6x Combine like terms: -6x + 6x = 0 -45 + 30x = -80 + 0 -45 + 30x = -80 Add '45' to each side of the equation. -45 + 45 + 30x = -80 + 45 Combine like terms: -45 + 45 = 0 0 + 30x = -80 + 45 30x = -80 + 45 Combine like terms: -80 + 45 = -35 30x = -35 Divide each side by '30'. x = -1.166666667 Simplifying x = -1.166666667
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