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Simplifying -1(7x + -5) + 3x = 15 + -5(x + 2) Reorder the terms: -1(-5 + 7x) + 3x = 15 + -5(x + 2) (-5 * -1 + 7x * -1) + 3x = 15 + -5(x + 2) (5 + -7x) + 3x = 15 + -5(x + 2) Combine like terms: -7x + 3x = -4x 5 + -4x = 15 + -5(x + 2) Reorder the terms: 5 + -4x = 15 + -5(2 + x) 5 + -4x = 15 + (2 * -5 + x * -5) 5 + -4x = 15 + (-10 + -5x) Combine like terms: 15 + -10 = 5 5 + -4x = 5 + -5x Add '-5' to each side of the equation. 5 + -5 + -4x = 5 + -5 + -5x Combine like terms: 5 + -5 = 0 0 + -4x = 5 + -5 + -5x -4x = 5 + -5 + -5x Combine like terms: 5 + -5 = 0 -4x = 0 + -5x -4x = -5x Solving -4x = -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. -4x + 5x = -5x + 5x Combine like terms: -4x + 5x = 1x 1x = -5x + 5x Combine like terms: -5x + 5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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