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Simplifying -84 = 6(1 + -9x) + 4(2 + 10x) -84 = (1 * 6 + -9x * 6) + 4(2 + 10x) -84 = (6 + -54x) + 4(2 + 10x) -84 = 6 + -54x + (2 * 4 + 10x * 4) -84 = 6 + -54x + (8 + 40x) Reorder the terms: -84 = 6 + 8 + -54x + 40x Combine like terms: 6 + 8 = 14 -84 = 14 + -54x + 40x Combine like terms: -54x + 40x = -14x -84 = 14 + -14x Solving -84 = 14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -84 + 14x = 14 + -14x + 14x Combine like terms: -14x + 14x = 0 -84 + 14x = 14 + 0 -84 + 14x = 14 Add '84' to each side of the equation. -84 + 84 + 14x = 14 + 84 Combine like terms: -84 + 84 = 0 0 + 14x = 14 + 84 14x = 14 + 84 Combine like terms: 14 + 84 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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