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Simplifying 84 = -8x + 2(6 + -5x) 84 = -8x + (6 * 2 + -5x * 2) 84 = -8x + (12 + -10x) Reorder the terms: 84 = 12 + -8x + -10x Combine like terms: -8x + -10x = -18x 84 = 12 + -18x Solving 84 = 12 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 84 + 18x = 12 + -18x + 18x Combine like terms: -18x + 18x = 0 84 + 18x = 12 + 0 84 + 18x = 12 Add '-84' to each side of the equation. 84 + -84 + 18x = 12 + -84 Combine like terms: 84 + -84 = 0 0 + 18x = 12 + -84 18x = 12 + -84 Combine like terms: 12 + -84 = -72 18x = -72 Divide each side by '18'. x = -4 Simplifying x = -4
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