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Simplifying 7x + 4 + -2x + -5 = 2x + 20 Reorder the terms: 4 + -5 + 7x + -2x = 2x + 20 Combine like terms: 4 + -5 = -1 -1 + 7x + -2x = 2x + 20 Combine like terms: 7x + -2x = 5x -1 + 5x = 2x + 20 Reorder the terms: -1 + 5x = 20 + 2x Solving -1 + 5x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 5x + -2x = 20 + 2x + -2x Combine like terms: 5x + -2x = 3x -1 + 3x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 3x = 20 + 0 -1 + 3x = 20 Add '1' to each side of the equation. -1 + 1 + 3x = 20 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 20 + 1 3x = 20 + 1 Combine like terms: 20 + 1 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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