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Simplifying 7x + 3(-4x + -13) = 6 Reorder the terms: 7x + 3(-13 + -4x) = 6 7x + (-13 * 3 + -4x * 3) = 6 7x + (-39 + -12x) = 6 Reorder the terms: -39 + 7x + -12x = 6 Combine like terms: 7x + -12x = -5x -39 + -5x = 6 Solving -39 + -5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -5x = 6 + 39 Combine like terms: -39 + 39 = 0 0 + -5x = 6 + 39 -5x = 6 + 39 Combine like terms: 6 + 39 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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