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Simplifying -7(5x + -6) + 1 = 35x + 43 Reorder the terms: -7(-6 + 5x) + 1 = 35x + 43 (-6 * -7 + 5x * -7) + 1 = 35x + 43 (42 + -35x) + 1 = 35x + 43 Reorder the terms: 42 + 1 + -35x = 35x + 43 Combine like terms: 42 + 1 = 43 43 + -35x = 35x + 43 Reorder the terms: 43 + -35x = 43 + 35x Add '-43' to each side of the equation. 43 + -43 + -35x = 43 + -43 + 35x Combine like terms: 43 + -43 = 0 0 + -35x = 43 + -43 + 35x -35x = 43 + -43 + 35x Combine like terms: 43 + -43 = 0 -35x = 0 + 35x -35x = 35x Solving -35x = 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. -35x + -35x = 35x + -35x Combine like terms: -35x + -35x = -70x -70x = 35x + -35x Combine like terms: 35x + -35x = 0 -70x = 0 Divide each side by '-70'. x = 0.0 Simplifying x = 0.0
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