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Simplifying 35(x + -1) = -7(5 + -1x) + 28 Reorder the terms: 35(-1 + x) = -7(5 + -1x) + 28 (-1 * 35 + x * 35) = -7(5 + -1x) + 28 (-35 + 35x) = -7(5 + -1x) + 28 -35 + 35x = (5 * -7 + -1x * -7) + 28 -35 + 35x = (-35 + 7x) + 28 Reorder the terms: -35 + 35x = -35 + 28 + 7x Combine like terms: -35 + 28 = -7 -35 + 35x = -7 + 7x Solving -35 + 35x = -7 + 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 + 35x + -7x = -7 + 7x + -7x Combine like terms: 35x + -7x = 28x -35 + 28x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + 28x = -7 + 0 -35 + 28x = -7 Add '35' to each side of the equation. -35 + 35 + 28x = -7 + 35 Combine like terms: -35 + 35 = 0 0 + 28x = -7 + 35 28x = -7 + 35 Combine like terms: -7 + 35 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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