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Simplifying 9x + -1(2x + 7) = 3x + -47 Reorder the terms: 9x + -1(7 + 2x) = 3x + -47 9x + (7 * -1 + 2x * -1) = 3x + -47 9x + (-7 + -2x) = 3x + -47 Reorder the terms: -7 + 9x + -2x = 3x + -47 Combine like terms: 9x + -2x = 7x -7 + 7x = 3x + -47 Reorder the terms: -7 + 7x = -47 + 3x Solving -7 + 7x = -47 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 7x + -3x = -47 + 3x + -3x Combine like terms: 7x + -3x = 4x -7 + 4x = -47 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 4x = -47 + 0 -7 + 4x = -47 Add '7' to each side of the equation. -7 + 7 + 4x = -47 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -47 + 7 4x = -47 + 7 Combine like terms: -47 + 7 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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