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Simplifying 84 = 2x + -4(2x + -3) Reorder the terms: 84 = 2x + -4(-3 + 2x) 84 = 2x + (-3 * -4 + 2x * -4) 84 = 2x + (12 + -8x) Reorder the terms: 84 = 12 + 2x + -8x Combine like terms: 2x + -8x = -6x 84 = 12 + -6x Solving 84 = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 84 + 6x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 84 + 6x = 12 + 0 84 + 6x = 12 Add '-84' to each side of the equation. 84 + -84 + 6x = 12 + -84 Combine like terms: 84 + -84 = 0 0 + 6x = 12 + -84 6x = 12 + -84 Combine like terms: 12 + -84 = -72 6x = -72 Divide each side by '6'. x = -12 Simplifying x = -12
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