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Simplifying -1(x + 3) + -1 = 4x + 7(x + 8) Reorder the terms: -1(3 + x) + -1 = 4x + 7(x + 8) (3 * -1 + x * -1) + -1 = 4x + 7(x + 8) (-3 + -1x) + -1 = 4x + 7(x + 8) Reorder the terms: -3 + -1 + -1x = 4x + 7(x + 8) Combine like terms: -3 + -1 = -4 -4 + -1x = 4x + 7(x + 8) Reorder the terms: -4 + -1x = 4x + 7(8 + x) -4 + -1x = 4x + (8 * 7 + x * 7) -4 + -1x = 4x + (56 + 7x) Reorder the terms: -4 + -1x = 56 + 4x + 7x Combine like terms: 4x + 7x = 11x -4 + -1x = 56 + 11x Solving -4 + -1x = 56 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -4 + -1x + -11x = 56 + 11x + -11x Combine like terms: -1x + -11x = -12x -4 + -12x = 56 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + -12x = 56 + 0 -4 + -12x = 56 Add '4' to each side of the equation. -4 + 4 + -12x = 56 + 4 Combine like terms: -4 + 4 = 0 0 + -12x = 56 + 4 -12x = 56 + 4 Combine like terms: 56 + 4 = 60 -12x = 60 Divide each side by '-12'. x = -5 Simplifying x = -5
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