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Simplifying 3x + 5(4x + -4) = 7x + 1 Reorder the terms: 3x + 5(-4 + 4x) = 7x + 1 3x + (-4 * 5 + 4x * 5) = 7x + 1 3x + (-20 + 20x) = 7x + 1 Reorder the terms: -20 + 3x + 20x = 7x + 1 Combine like terms: 3x + 20x = 23x -20 + 23x = 7x + 1 Reorder the terms: -20 + 23x = 1 + 7x Solving -20 + 23x = 1 + 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. -20 + 23x + -7x = 1 + 7x + -7x Combine like terms: 23x + -7x = 16x -20 + 16x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + 16x = 1 + 0 -20 + 16x = 1 Add '20' to each side of the equation. -20 + 20 + 16x = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 16x = 1 + 20 16x = 1 + 20 Combine like terms: 1 + 20 = 21 16x = 21 Divide each side by '16'. x = 1.3125 Simplifying x = 1.3125
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