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Simplifying 2x + 3(-4x + -2) = 84 Reorder the terms: 2x + 3(-2 + -4x) = 84 2x + (-2 * 3 + -4x * 3) = 84 2x + (-6 + -12x) = 84 Reorder the terms: -6 + 2x + -12x = 84 Combine like terms: 2x + -12x = -10x -6 + -10x = 84 Solving -6 + -10x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -10x = 84 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = 84 + 6 -10x = 84 + 6 Combine like terms: 84 + 6 = 90 -10x = 90 Divide each side by '-10'. x = -9 Simplifying x = -9
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