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Simplifying 9x + -1(5x + 6) = 5x + -47 Reorder the terms: 9x + -1(6 + 5x) = 5x + -47 9x + (6 * -1 + 5x * -1) = 5x + -47 9x + (-6 + -5x) = 5x + -47 Reorder the terms: -6 + 9x + -5x = 5x + -47 Combine like terms: 9x + -5x = 4x -6 + 4x = 5x + -47 Reorder the terms: -6 + 4x = -47 + 5x Solving -6 + 4x = -47 + 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. -6 + 4x + -5x = -47 + 5x + -5x Combine like terms: 4x + -5x = -1x -6 + -1x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -1x = -47 + 0 -6 + -1x = -47 Add '6' to each side of the equation. -6 + 6 + -1x = -47 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -47 + 6 -1x = -47 + 6 Combine like terms: -47 + 6 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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