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Simplifying 35(2x + -1) = 7(x + 4) + 3 Reorder the terms: 35(-1 + 2x) = 7(x + 4) + 3 (-1 * 35 + 2x * 35) = 7(x + 4) + 3 (-35 + 70x) = 7(x + 4) + 3 Reorder the terms: -35 + 70x = 7(4 + x) + 3 -35 + 70x = (4 * 7 + x * 7) + 3 -35 + 70x = (28 + 7x) + 3 Reorder the terms: -35 + 70x = 28 + 3 + 7x Combine like terms: 28 + 3 = 31 -35 + 70x = 31 + 7x Solving -35 + 70x = 31 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -35 + 70x + -7x = 31 + 7x + -7x Combine like terms: 70x + -7x = 63x -35 + 63x = 31 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 63x = 31 + 0 -35 + 63x = 31 Add '35' to each side of the equation. -35 + 35 + 63x = 31 + 35 Combine like terms: -35 + 35 = 0 0 + 63x = 31 + 35 63x = 31 + 35 Combine like terms: 31 + 35 = 66 63x = 66 Divide each side by '63'. x = 1.047619048 Simplifying x = 1.047619048
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