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Simplifying 35(3x + 5) + -28(x + 7) = 20 Reorder the terms: 35(5 + 3x) + -28(x + 7) = 20 (5 * 35 + 3x * 35) + -28(x + 7) = 20 (175 + 105x) + -28(x + 7) = 20 Reorder the terms: 175 + 105x + -28(7 + x) = 20 175 + 105x + (7 * -28 + x * -28) = 20 175 + 105x + (-196 + -28x) = 20 Reorder the terms: 175 + -196 + 105x + -28x = 20 Combine like terms: 175 + -196 = -21 -21 + 105x + -28x = 20 Combine like terms: 105x + -28x = 77x -21 + 77x = 20 Solving -21 + 77x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 77x = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 77x = 20 + 21 77x = 20 + 21 Combine like terms: 20 + 21 = 41 77x = 41 Divide each side by '77'. x = 0.5324675325 Simplifying x = 0.5324675325
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