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Simplifying 6x + -9(9 + -7x) = 9(2x + 9) + 9 6x + (9 * -9 + -7x * -9) = 9(2x + 9) + 9 6x + (-81 + 63x) = 9(2x + 9) + 9 Reorder the terms: -81 + 6x + 63x = 9(2x + 9) + 9 Combine like terms: 6x + 63x = 69x -81 + 69x = 9(2x + 9) + 9 Reorder the terms: -81 + 69x = 9(9 + 2x) + 9 -81 + 69x = (9 * 9 + 2x * 9) + 9 -81 + 69x = (81 + 18x) + 9 Reorder the terms: -81 + 69x = 81 + 9 + 18x Combine like terms: 81 + 9 = 90 -81 + 69x = 90 + 18x Solving -81 + 69x = 90 + 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. -81 + 69x + -18x = 90 + 18x + -18x Combine like terms: 69x + -18x = 51x -81 + 51x = 90 + 18x + -18x Combine like terms: 18x + -18x = 0 -81 + 51x = 90 + 0 -81 + 51x = 90 Add '81' to each side of the equation. -81 + 81 + 51x = 90 + 81 Combine like terms: -81 + 81 = 0 0 + 51x = 90 + 81 51x = 90 + 81 Combine like terms: 90 + 81 = 171 51x = 171 Divide each side by '51'. x = 3.352941176 Simplifying x = 3.352941176
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