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Simplifying 7x + -1(2x + 5) = 2x + 4 Reorder the terms: 7x + -1(5 + 2x) = 2x + 4 7x + (5 * -1 + 2x * -1) = 2x + 4 7x + (-5 + -2x) = 2x + 4 Reorder the terms: -5 + 7x + -2x = 2x + 4 Combine like terms: 7x + -2x = 5x -5 + 5x = 2x + 4 Reorder the terms: -5 + 5x = 4 + 2x Solving -5 + 5x = 4 + 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. -5 + 5x + -2x = 4 + 2x + -2x Combine like terms: 5x + -2x = 3x -5 + 3x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 3x = 4 + 0 -5 + 3x = 4 Add '5' to each side of the equation. -5 + 5 + 3x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 4 + 5 3x = 4 + 5 Combine like terms: 4 + 5 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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