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Simplifying -1(1 + 7x) + -1(2 + x + -4) = 36 + 5x(3 + 4) (1 * -1 + 7x * -1) + -1(2 + x + -4) = 36 + 5x(3 + 4) (-1 + -7x) + -1(2 + x + -4) = 36 + 5x(3 + 4) Reorder the terms: -1 + -7x + -1(2 + -4 + x) = 36 + 5x(3 + 4) Combine like terms: 2 + -4 = -2 -1 + -7x + -1(-2 + x) = 36 + 5x(3 + 4) -1 + -7x + (-2 * -1 + x * -1) = 36 + 5x(3 + 4) -1 + -7x + (2 + -1x) = 36 + 5x(3 + 4) Reorder the terms: -1 + 2 + -7x + -1x = 36 + 5x(3 + 4) Combine like terms: -1 + 2 = 1 1 + -7x + -1x = 36 + 5x(3 + 4) Combine like terms: -7x + -1x = -8x 1 + -8x = 36 + 5x(3 + 4) Combine like terms: 3 + 4 = 7 1 + -8x = 36 + 5x(7) Reorder the terms for easier multiplication: 1 + -8x = 36 + 5 * 7x Multiply 5 * 7 1 + -8x = 36 + 35x Solving 1 + -8x = 36 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 1 + -8x + -35x = 36 + 35x + -35x Combine like terms: -8x + -35x = -43x 1 + -43x = 36 + 35x + -35x Combine like terms: 35x + -35x = 0 1 + -43x = 36 + 0 1 + -43x = 36 Add '-1' to each side of the equation. 1 + -1 + -43x = 36 + -1 Combine like terms: 1 + -1 = 0 0 + -43x = 36 + -1 -43x = 36 + -1 Combine like terms: 36 + -1 = 35 -43x = 35 Divide each side by '-43'. x = -0.8139534884 Simplifying x = -0.8139534884
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