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Simplifying -15 + 7x = -3x + -1(1 + -8x) -15 + 7x = -3x + (1 * -1 + -8x * -1) -15 + 7x = -3x + (-1 + 8x) Reorder the terms: -15 + 7x = -1 + -3x + 8x Combine like terms: -3x + 8x = 5x -15 + 7x = -1 + 5x Solving -15 + 7x = -1 + 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. -15 + 7x + -5x = -1 + 5x + -5x Combine like terms: 7x + -5x = 2x -15 + 2x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 2x = -1 + 0 -15 + 2x = -1 Add '15' to each side of the equation. -15 + 15 + 2x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = -1 + 15 2x = -1 + 15 Combine like terms: -1 + 15 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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