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Simplifying 3x + -2(3x + 4) = 13 Reorder the terms: 3x + -2(4 + 3x) = 13 3x + (4 * -2 + 3x * -2) = 13 3x + (-8 + -6x) = 13 Reorder the terms: -8 + 3x + -6x = 13 Combine like terms: 3x + -6x = -3x -8 + -3x = 13 Solving -8 + -3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 13 + 8 -3x = 13 + 8 Combine like terms: 13 + 8 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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