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Simplifying 6x + -4(4x + 9) = 84 Reorder the terms: 6x + -4(9 + 4x) = 84 6x + (9 * -4 + 4x * -4) = 84 6x + (-36 + -16x) = 84 Reorder the terms: -36 + 6x + -16x = 84 Combine like terms: 6x + -16x = -10x -36 + -10x = 84 Solving -36 + -10x = 84 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -10x = 84 + 36 Combine like terms: -36 + 36 = 0 0 + -10x = 84 + 36 -10x = 84 + 36 Combine like terms: 84 + 36 = 120 -10x = 120 Divide each side by '-10'. x = -12 Simplifying x = -12
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