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Simplifying -35(4x + 1) = 6x + 2 Reorder the terms: -35(1 + 4x) = 6x + 2 (1 * -35 + 4x * -35) = 6x + 2 (-35 + -140x) = 6x + 2 Reorder the terms: -35 + -140x = 2 + 6x Solving -35 + -140x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + -140x + -6x = 2 + 6x + -6x Combine like terms: -140x + -6x = -146x -35 + -146x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + -146x = 2 + 0 -35 + -146x = 2 Add '35' to each side of the equation. -35 + 35 + -146x = 2 + 35 Combine like terms: -35 + 35 = 0 0 + -146x = 2 + 35 -146x = 2 + 35 Combine like terms: 2 + 35 = 37 -146x = 37 Divide each side by '-146'. x = -0.2534246575 Simplifying x = -0.2534246575
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