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Simplifying x + -1(3x + 5) = 7 + -5x Reorder the terms: x + -1(5 + 3x) = 7 + -5x x + (5 * -1 + 3x * -1) = 7 + -5x x + (-5 + -3x) = 7 + -5x Reorder the terms: -5 + x + -3x = 7 + -5x Combine like terms: x + -3x = -2x -5 + -2x = 7 + -5x Solving -5 + -2x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -5 + -2x + 5x = 7 + -5x + 5x Combine like terms: -2x + 5x = 3x -5 + 3x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 3x = 7 + 0 -5 + 3x = 7 Add '5' to each side of the equation. -5 + 5 + 3x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 7 + 5 3x = 7 + 5 Combine like terms: 7 + 5 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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