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Simplifying 9(x + -1) + -2x = -1(x + 50) Reorder the terms: 9(-1 + x) + -2x = -1(x + 50) (-1 * 9 + x * 9) + -2x = -1(x + 50) (-9 + 9x) + -2x = -1(x + 50) Combine like terms: 9x + -2x = 7x -9 + 7x = -1(x + 50) Reorder the terms: -9 + 7x = -1(50 + x) -9 + 7x = (50 * -1 + x * -1) -9 + 7x = (-50 + -1x) Solving -9 + 7x = -50 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + 7x + x = -50 + -1x + x Combine like terms: 7x + x = 8x -9 + 8x = -50 + -1x + x Combine like terms: -1x + x = 0 -9 + 8x = -50 + 0 -9 + 8x = -50 Add '9' to each side of the equation. -9 + 9 + 8x = -50 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = -50 + 9 8x = -50 + 9 Combine like terms: -50 + 9 = -41 8x = -41 Divide each side by '8'. x = -5.125 Simplifying x = -5.125
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