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Simplifying 5 + 3(4X + -5) = 9 + -3(2X + 1) Reorder the terms: 5 + 3(-5 + 4X) = 9 + -3(2X + 1) 5 + (-5 * 3 + 4X * 3) = 9 + -3(2X + 1) 5 + (-15 + 12X) = 9 + -3(2X + 1) Combine like terms: 5 + -15 = -10 -10 + 12X = 9 + -3(2X + 1) Reorder the terms: -10 + 12X = 9 + -3(1 + 2X) -10 + 12X = 9 + (1 * -3 + 2X * -3) -10 + 12X = 9 + (-3 + -6X) Combine like terms: 9 + -3 = 6 -10 + 12X = 6 + -6X Solving -10 + 12X = 6 + -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. -10 + 12X + 6X = 6 + -6X + 6X Combine like terms: 12X + 6X = 18X -10 + 18X = 6 + -6X + 6X Combine like terms: -6X + 6X = 0 -10 + 18X = 6 + 0 -10 + 18X = 6 Add '10' to each side of the equation. -10 + 10 + 18X = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 18X = 6 + 10 18X = 6 + 10 Combine like terms: 6 + 10 = 16 18X = 16 Divide each side by '18'. X = 0.8888888889 Simplifying X = 0.8888888889
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