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Simplifying 84 = 2x + 6(3x + -6) Reorder the terms: 84 = 2x + 6(-6 + 3x) 84 = 2x + (-6 * 6 + 3x * 6) 84 = 2x + (-36 + 18x) Reorder the terms: 84 = -36 + 2x + 18x Combine like terms: 2x + 18x = 20x 84 = -36 + 20x Solving 84 = -36 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 84 + -20x = -36 + 20x + -20x Combine like terms: 20x + -20x = 0 84 + -20x = -36 + 0 84 + -20x = -36 Add '-84' to each side of the equation. 84 + -84 + -20x = -36 + -84 Combine like terms: 84 + -84 = 0 0 + -20x = -36 + -84 -20x = -36 + -84 Combine like terms: -36 + -84 = -120 -20x = -120 Divide each side by '-20'. x = 6 Simplifying x = 6
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