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Simplifying 6x + 7(-5x + 5) = -7(4x + 2) + -8x Reorder the terms: 6x + 7(5 + -5x) = -7(4x + 2) + -8x 6x + (5 * 7 + -5x * 7) = -7(4x + 2) + -8x 6x + (35 + -35x) = -7(4x + 2) + -8x Reorder the terms: 35 + 6x + -35x = -7(4x + 2) + -8x Combine like terms: 6x + -35x = -29x 35 + -29x = -7(4x + 2) + -8x Reorder the terms: 35 + -29x = -7(2 + 4x) + -8x 35 + -29x = (2 * -7 + 4x * -7) + -8x 35 + -29x = (-14 + -28x) + -8x Combine like terms: -28x + -8x = -36x 35 + -29x = -14 + -36x Solving 35 + -29x = -14 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 35 + -29x + 36x = -14 + -36x + 36x Combine like terms: -29x + 36x = 7x 35 + 7x = -14 + -36x + 36x Combine like terms: -36x + 36x = 0 35 + 7x = -14 + 0 35 + 7x = -14 Add '-35' to each side of the equation. 35 + -35 + 7x = -14 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = -14 + -35 7x = -14 + -35 Combine like terms: -14 + -35 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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