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Simplifying 8(x + 7) + -1(-4x + -8) = 11x Reorder the terms: 8(7 + x) + -1(-4x + -8) = 11x (7 * 8 + x * 8) + -1(-4x + -8) = 11x (56 + 8x) + -1(-4x + -8) = 11x Reorder the terms: 56 + 8x + -1(-8 + -4x) = 11x 56 + 8x + (-8 * -1 + -4x * -1) = 11x 56 + 8x + (8 + 4x) = 11x Reorder the terms: 56 + 8 + 8x + 4x = 11x Combine like terms: 56 + 8 = 64 64 + 8x + 4x = 11x Combine like terms: 8x + 4x = 12x 64 + 12x = 11x Solving 64 + 12x = 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. 64 + 12x + -11x = 11x + -11x Combine like terms: 12x + -11x = 1x 64 + 1x = 11x + -11x Combine like terms: 11x + -11x = 0 64 + 1x = 0 Add '-64' to each side of the equation. 64 + -64 + 1x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 1x = 0 + -64 1x = 0 + -64 Combine like terms: 0 + -64 = -64 1x = -64 Divide each side by '1'. x = -64 Simplifying x = -64
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