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Simplifying 9x + -1(5x + 2) = 5x + -49 Reorder the terms: 9x + -1(2 + 5x) = 5x + -49 9x + (2 * -1 + 5x * -1) = 5x + -49 9x + (-2 + -5x) = 5x + -49 Reorder the terms: -2 + 9x + -5x = 5x + -49 Combine like terms: 9x + -5x = 4x -2 + 4x = 5x + -49 Reorder the terms: -2 + 4x = -49 + 5x Solving -2 + 4x = -49 + 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 + 4x + -5x = -49 + 5x + -5x Combine like terms: 4x + -5x = -1x -2 + -1x = -49 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + -1x = -49 + 0 -2 + -1x = -49 Add '2' to each side of the equation. -2 + 2 + -1x = -49 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -49 + 2 -1x = -49 + 2 Combine like terms: -49 + 2 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47
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