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Simplifying -3x + -1(8x + -7) = x + -1(x + 4) Reorder the terms: -3x + -1(-7 + 8x) = x + -1(x + 4) -3x + (-7 * -1 + 8x * -1) = x + -1(x + 4) -3x + (7 + -8x) = x + -1(x + 4) Reorder the terms: 7 + -3x + -8x = x + -1(x + 4) Combine like terms: -3x + -8x = -11x 7 + -11x = x + -1(x + 4) Reorder the terms: 7 + -11x = x + -1(4 + x) 7 + -11x = x + (4 * -1 + x * -1) 7 + -11x = x + (-4 + -1x) Reorder the terms: 7 + -11x = -4 + x + -1x Combine like terms: x + -1x = 0 7 + -11x = -4 + 0 7 + -11x = -4 Solving 7 + -11x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -11x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = -4 + -7 -11x = -4 + -7 Combine like terms: -4 + -7 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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