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Simplifying 35(2x + -1) = 7(x + 4) + 3x Reorder the terms: 35(-1 + 2x) = 7(x + 4) + 3x (-1 * 35 + 2x * 35) = 7(x + 4) + 3x (-35 + 70x) = 7(x + 4) + 3x Reorder the terms: -35 + 70x = 7(4 + x) + 3x -35 + 70x = (4 * 7 + x * 7) + 3x -35 + 70x = (28 + 7x) + 3x Combine like terms: 7x + 3x = 10x -35 + 70x = 28 + 10x Solving -35 + 70x = 28 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -35 + 70x + -10x = 28 + 10x + -10x Combine like terms: 70x + -10x = 60x -35 + 60x = 28 + 10x + -10x Combine like terms: 10x + -10x = 0 -35 + 60x = 28 + 0 -35 + 60x = 28 Add '35' to each side of the equation. -35 + 35 + 60x = 28 + 35 Combine like terms: -35 + 35 = 0 0 + 60x = 28 + 35 60x = 28 + 35 Combine like terms: 28 + 35 = 63 60x = 63 Divide each side by '60'. x = 1.05 Simplifying x = 1.05
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