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Simplifying 6(X + -8) + -4(X + -3) + 5X = 0 Reorder the terms: 6(-8 + X) + -4(X + -3) + 5X = 0 (-8 * 6 + X * 6) + -4(X + -3) + 5X = 0 (-48 + 6X) + -4(X + -3) + 5X = 0 Reorder the terms: -48 + 6X + -4(-3 + X) + 5X = 0 -48 + 6X + (-3 * -4 + X * -4) + 5X = 0 -48 + 6X + (12 + -4X) + 5X = 0 Reorder the terms: -48 + 12 + 6X + -4X + 5X = 0 Combine like terms: -48 + 12 = -36 -36 + 6X + -4X + 5X = 0 Combine like terms: 6X + -4X = 2X -36 + 2X + 5X = 0 Combine like terms: 2X + 5X = 7X -36 + 7X = 0 Solving -36 + 7X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 7X = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 7X = 0 + 36 7X = 0 + 36 Combine like terms: 0 + 36 = 36 7X = 36 Divide each side by '7'. X = 5.142857143 Simplifying X = 5.142857143
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