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Simplifying -5(9 + 9x) + -9(1 + -9x) = 12x + 6x (9 * -5 + 9x * -5) + -9(1 + -9x) = 12x + 6x (-45 + -45x) + -9(1 + -9x) = 12x + 6x -45 + -45x + (1 * -9 + -9x * -9) = 12x + 6x -45 + -45x + (-9 + 81x) = 12x + 6x Reorder the terms: -45 + -9 + -45x + 81x = 12x + 6x Combine like terms: -45 + -9 = -54 -54 + -45x + 81x = 12x + 6x Combine like terms: -45x + 81x = 36x -54 + 36x = 12x + 6x Combine like terms: 12x + 6x = 18x -54 + 36x = 18x Solving -54 + 36x = 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. -54 + 36x + -18x = 18x + -18x Combine like terms: 36x + -18x = 18x -54 + 18x = 18x + -18x Combine like terms: 18x + -18x = 0 -54 + 18x = 0 Add '54' to each side of the equation. -54 + 54 + 18x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 18x = 0 + 54 18x = 0 + 54 Combine like terms: 0 + 54 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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