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Simplifying (x + -4) + -1(x + 7) = 8x Reorder the terms: (-4 + x) + -1(x + 7) = 8x Remove parenthesis around (-4 + x) -4 + x + -1(x + 7) = 8x Reorder the terms: -4 + x + -1(7 + x) = 8x -4 + x + (7 * -1 + x * -1) = 8x -4 + x + (-7 + -1x) = 8x Reorder the terms: -4 + -7 + x + -1x = 8x Combine like terms: -4 + -7 = -11 -11 + x + -1x = 8x Combine like terms: x + -1x = 0 -11 + 0 = 8x -11 = 8x Solving -11 = 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -11 + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -8x = 0 Add '11' to each side of the equation. -11 + 11 + -8x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -8x = 0 + 11 -8x = 0 + 11 Combine like terms: 0 + 11 = 11 -8x = 11 Divide each side by '-8'. x = -1.375 Simplifying x = -1.375
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