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Simplifying 2x + -1(x + 7) = 9x + 7 + 1 Reorder the terms: 2x + -1(7 + x) = 9x + 7 + 1 2x + (7 * -1 + x * -1) = 9x + 7 + 1 2x + (-7 + -1x) = 9x + 7 + 1 Reorder the terms: -7 + 2x + -1x = 9x + 7 + 1 Combine like terms: 2x + -1x = 1x -7 + 1x = 9x + 7 + 1 Reorder the terms: -7 + 1x = 7 + 1 + 9x Combine like terms: 7 + 1 = 8 -7 + 1x = 8 + 9x Solving -7 + 1x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 1x + -9x = 8 + 9x + -9x Combine like terms: 1x + -9x = -8x -7 + -8x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -8x = 8 + 0 -7 + -8x = 8 Add '7' to each side of the equation. -7 + 7 + -8x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 8 + 7 -8x = 8 + 7 Combine like terms: 8 + 7 = 15 -8x = 15 Divide each side by '-8'. x = -1.875 Simplifying x = -1.875
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