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Simplifying -1(4x + 4) + -1(7x + -8) = 8 + -1(3x + 1) Reorder the terms: -1(4 + 4x) + -1(7x + -8) = 8 + -1(3x + 1) (4 * -1 + 4x * -1) + -1(7x + -8) = 8 + -1(3x + 1) (-4 + -4x) + -1(7x + -8) = 8 + -1(3x + 1) Reorder the terms: -4 + -4x + -1(-8 + 7x) = 8 + -1(3x + 1) -4 + -4x + (-8 * -1 + 7x * -1) = 8 + -1(3x + 1) -4 + -4x + (8 + -7x) = 8 + -1(3x + 1) Reorder the terms: -4 + 8 + -4x + -7x = 8 + -1(3x + 1) Combine like terms: -4 + 8 = 4 4 + -4x + -7x = 8 + -1(3x + 1) Combine like terms: -4x + -7x = -11x 4 + -11x = 8 + -1(3x + 1) Reorder the terms: 4 + -11x = 8 + -1(1 + 3x) 4 + -11x = 8 + (1 * -1 + 3x * -1) 4 + -11x = 8 + (-1 + -3x) Combine like terms: 8 + -1 = 7 4 + -11x = 7 + -3x Solving 4 + -11x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + -11x + 3x = 7 + -3x + 3x Combine like terms: -11x + 3x = -8x 4 + -8x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -8x = 7 + 0 4 + -8x = 7 Add '-4' to each side of the equation. 4 + -4 + -8x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 7 + -4 -8x = 7 + -4 Combine like terms: 7 + -4 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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