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Simplifying 6X + -3(3X + -4) = 5(8 + -3x) + -4 Reorder the terms: 6X + -3(-4 + 3X) = 5(8 + -3x) + -4 6X + (-4 * -3 + 3X * -3) = 5(8 + -3x) + -4 6X + (12 + -9X) = 5(8 + -3x) + -4 Reorder the terms: 12 + 6X + -9X = 5(8 + -3x) + -4 Combine like terms: 6X + -9X = -3X 12 + -3X = 5(8 + -3x) + -4 12 + -3X = (8 * 5 + -3x * 5) + -4 12 + -3X = (40 + -15x) + -4 Reorder the terms: 12 + -3X = 40 + -4 + -15x Combine like terms: 40 + -4 = 36 12 + -3X = 36 + -15x Solving 12 + -3X = 36 + -15x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3X = 36 + -12 + -15x Combine like terms: 12 + -12 = 0 0 + -3X = 36 + -12 + -15x -3X = 36 + -12 + -15x Combine like terms: 36 + -12 = 24 -3X = 24 + -15x Divide each side by '-3'. X = -8 + 5x Simplifying X = -8 + 5x
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