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Simplifying 6 + 9(9x + -2) = 9 + -9(9x + 3) Reorder the terms: 6 + 9(-2 + 9x) = 9 + -9(9x + 3) 6 + (-2 * 9 + 9x * 9) = 9 + -9(9x + 3) 6 + (-18 + 81x) = 9 + -9(9x + 3) Combine like terms: 6 + -18 = -12 -12 + 81x = 9 + -9(9x + 3) Reorder the terms: -12 + 81x = 9 + -9(3 + 9x) -12 + 81x = 9 + (3 * -9 + 9x * -9) -12 + 81x = 9 + (-27 + -81x) Combine like terms: 9 + -27 = -18 -12 + 81x = -18 + -81x Solving -12 + 81x = -18 + -81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81x' to each side of the equation. -12 + 81x + 81x = -18 + -81x + 81x Combine like terms: 81x + 81x = 162x -12 + 162x = -18 + -81x + 81x Combine like terms: -81x + 81x = 0 -12 + 162x = -18 + 0 -12 + 162x = -18 Add '12' to each side of the equation. -12 + 12 + 162x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 162x = -18 + 12 162x = -18 + 12 Combine like terms: -18 + 12 = -6 162x = -6 Divide each side by '162'. x = -0.03703703704 Simplifying x = -0.03703703704
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