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Simplifying 3 + 3(3X + -5) = 6 + -5(2X + 1) Reorder the terms: 3 + 3(-5 + 3X) = 6 + -5(2X + 1) 3 + (-5 * 3 + 3X * 3) = 6 + -5(2X + 1) 3 + (-15 + 9X) = 6 + -5(2X + 1) Combine like terms: 3 + -15 = -12 -12 + 9X = 6 + -5(2X + 1) Reorder the terms: -12 + 9X = 6 + -5(1 + 2X) -12 + 9X = 6 + (1 * -5 + 2X * -5) -12 + 9X = 6 + (-5 + -10X) Combine like terms: 6 + -5 = 1 -12 + 9X = 1 + -10X Solving -12 + 9X = 1 + -10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10X' to each side of the equation. -12 + 9X + 10X = 1 + -10X + 10X Combine like terms: 9X + 10X = 19X -12 + 19X = 1 + -10X + 10X Combine like terms: -10X + 10X = 0 -12 + 19X = 1 + 0 -12 + 19X = 1 Add '12' to each side of the equation. -12 + 12 + 19X = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 19X = 1 + 12 19X = 1 + 12 Combine like terms: 1 + 12 = 13 19X = 13 Divide each side by '19'. X = 0.6842105263 Simplifying X = 0.6842105263
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