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Simplifying 9x + -1(6x + 2) = 5x + -46 Reorder the terms: 9x + -1(2 + 6x) = 5x + -46 9x + (2 * -1 + 6x * -1) = 5x + -46 9x + (-2 + -6x) = 5x + -46 Reorder the terms: -2 + 9x + -6x = 5x + -46 Combine like terms: 9x + -6x = 3x -2 + 3x = 5x + -46 Reorder the terms: -2 + 3x = -46 + 5x Solving -2 + 3x = -46 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 3x + -5x = -46 + 5x + -5x Combine like terms: 3x + -5x = -2x -2 + -2x = -46 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -2x = -46 + 0 -2 + -2x = -46 Add '2' to each side of the equation. -2 + 2 + -2x = -46 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -46 + 2 -2x = -46 + 2 Combine like terms: -46 + 2 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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