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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 = 3 3 + x + -1x = 8x Combine like terms: x + -1x = 0 3 + 0 = 8x 3 = 8x Solving 3 = 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. 3 + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 3 + -8x = 0 Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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