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Simplifying 7(4x + -1) = 5(7 + 5x) Reorder the terms: 7(-1 + 4x) = 5(7 + 5x) (-1 * 7 + 4x * 7) = 5(7 + 5x) (-7 + 28x) = 5(7 + 5x) -7 + 28x = (7 * 5 + 5x * 5) -7 + 28x = (35 + 25x) Solving -7 + 28x = 35 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -7 + 28x + -25x = 35 + 25x + -25x Combine like terms: 28x + -25x = 3x -7 + 3x = 35 + 25x + -25x Combine like terms: 25x + -25x = 0 -7 + 3x = 35 + 0 -7 + 3x = 35 Add '7' to each side of the equation. -7 + 7 + 3x = 35 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 35 + 7 3x = 35 + 7 Combine like terms: 35 + 7 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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