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Simplifying 2(9x + -1) = 99 + -1(3 + -4x) Reorder the terms: 2(-1 + 9x) = 99 + -1(3 + -4x) (-1 * 2 + 9x * 2) = 99 + -1(3 + -4x) (-2 + 18x) = 99 + -1(3 + -4x) -2 + 18x = 99 + (3 * -1 + -4x * -1) -2 + 18x = 99 + (-3 + 4x) Combine like terms: 99 + -3 = 96 -2 + 18x = 96 + 4x Solving -2 + 18x = 96 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 18x + -4x = 96 + 4x + -4x Combine like terms: 18x + -4x = 14x -2 + 14x = 96 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 14x = 96 + 0 -2 + 14x = 96 Add '2' to each side of the equation. -2 + 2 + 14x = 96 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 96 + 2 14x = 96 + 2 Combine like terms: 96 + 2 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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