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Simplifying 7(3x + -7) + 4x = 2(5x + 3) + 20 Reorder the terms: 7(-7 + 3x) + 4x = 2(5x + 3) + 20 (-7 * 7 + 3x * 7) + 4x = 2(5x + 3) + 20 (-49 + 21x) + 4x = 2(5x + 3) + 20 Combine like terms: 21x + 4x = 25x -49 + 25x = 2(5x + 3) + 20 Reorder the terms: -49 + 25x = 2(3 + 5x) + 20 -49 + 25x = (3 * 2 + 5x * 2) + 20 -49 + 25x = (6 + 10x) + 20 Reorder the terms: -49 + 25x = 6 + 20 + 10x Combine like terms: 6 + 20 = 26 -49 + 25x = 26 + 10x Solving -49 + 25x = 26 + 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. -49 + 25x + -10x = 26 + 10x + -10x Combine like terms: 25x + -10x = 15x -49 + 15x = 26 + 10x + -10x Combine like terms: 10x + -10x = 0 -49 + 15x = 26 + 0 -49 + 15x = 26 Add '49' to each side of the equation. -49 + 49 + 15x = 26 + 49 Combine like terms: -49 + 49 = 0 0 + 15x = 26 + 49 15x = 26 + 49 Combine like terms: 26 + 49 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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