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Simplifying 3x + -9(5 + -9x) = (6x + -2) + 10 3x + (5 * -9 + -9x * -9) = (6x + -2) + 10 3x + (-45 + 81x) = (6x + -2) + 10 Reorder the terms: -45 + 3x + 81x = (6x + -2) + 10 Combine like terms: 3x + 81x = 84x -45 + 84x = (6x + -2) + 10 Reorder the terms: -45 + 84x = (-2 + 6x) + 10 Remove parenthesis around (-2 + 6x) -45 + 84x = -2 + 6x + 10 Reorder the terms: -45 + 84x = -2 + 10 + 6x Combine like terms: -2 + 10 = 8 -45 + 84x = 8 + 6x Solving -45 + 84x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -45 + 84x + -6x = 8 + 6x + -6x Combine like terms: 84x + -6x = 78x -45 + 78x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 78x = 8 + 0 -45 + 78x = 8 Add '45' to each side of the equation. -45 + 45 + 78x = 8 + 45 Combine like terms: -45 + 45 = 0 0 + 78x = 8 + 45 78x = 8 + 45 Combine like terms: 8 + 45 = 53 78x = 53 Divide each side by '78'. x = 0.6794871795 Simplifying x = 0.6794871795
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