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Simplifying 8 + -9(x + 7) = 1 + -1x Reorder the terms: 8 + -9(7 + x) = 1 + -1x 8 + (7 * -9 + x * -9) = 1 + -1x 8 + (-63 + -9x) = 1 + -1x Combine like terms: 8 + -63 = -55 -55 + -9x = 1 + -1x Solving -55 + -9x = 1 + -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. -55 + -9x + x = 1 + -1x + x Combine like terms: -9x + x = -8x -55 + -8x = 1 + -1x + x Combine like terms: -1x + x = 0 -55 + -8x = 1 + 0 -55 + -8x = 1 Add '55' to each side of the equation. -55 + 55 + -8x = 1 + 55 Combine like terms: -55 + 55 = 0 0 + -8x = 1 + 55 -8x = 1 + 55 Combine like terms: 1 + 55 = 56 -8x = 56 Divide each side by '-8'. x = -7 Simplifying x = -7
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