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Simplifying 84 = 6x + 3(2x + -12) Reorder the terms: 84 = 6x + 3(-12 + 2x) 84 = 6x + (-12 * 3 + 2x * 3) 84 = 6x + (-36 + 6x) Reorder the terms: 84 = -36 + 6x + 6x Combine like terms: 6x + 6x = 12x 84 = -36 + 12x Solving 84 = -36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 84 + -12x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 84 + -12x = -36 + 0 84 + -12x = -36 Add '-84' to each side of the equation. 84 + -84 + -12x = -36 + -84 Combine like terms: 84 + -84 = 0 0 + -12x = -36 + -84 -12x = -36 + -84 Combine like terms: -36 + -84 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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