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Simplifying -3 + 9(6x + -9) = 7 + -6(9x + -7) Reorder the terms: -3 + 9(-9 + 6x) = 7 + -6(9x + -7) -3 + (-9 * 9 + 6x * 9) = 7 + -6(9x + -7) -3 + (-81 + 54x) = 7 + -6(9x + -7) Combine like terms: -3 + -81 = -84 -84 + 54x = 7 + -6(9x + -7) Reorder the terms: -84 + 54x = 7 + -6(-7 + 9x) -84 + 54x = 7 + (-7 * -6 + 9x * -6) -84 + 54x = 7 + (42 + -54x) Combine like terms: 7 + 42 = 49 -84 + 54x = 49 + -54x Solving -84 + 54x = 49 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -84 + 54x + 54x = 49 + -54x + 54x Combine like terms: 54x + 54x = 108x -84 + 108x = 49 + -54x + 54x Combine like terms: -54x + 54x = 0 -84 + 108x = 49 + 0 -84 + 108x = 49 Add '84' to each side of the equation. -84 + 84 + 108x = 49 + 84 Combine like terms: -84 + 84 = 0 0 + 108x = 49 + 84 108x = 49 + 84 Combine like terms: 49 + 84 = 133 108x = 133 Divide each side by '108'. x = 1.231481481 Simplifying x = 1.231481481
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