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Simplifying 8x + -7 = 2x + -1(2 + -1x) Reorder the terms: -7 + 8x = 2x + -1(2 + -1x) -7 + 8x = 2x + (2 * -1 + -1x * -1) -7 + 8x = 2x + (-2 + 1x) Reorder the terms: -7 + 8x = -2 + 2x + 1x Combine like terms: 2x + 1x = 3x -7 + 8x = -2 + 3x Solving -7 + 8x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 8x + -3x = -2 + 3x + -3x Combine like terms: 8x + -3x = 5x -7 + 5x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 5x = -2 + 0 -7 + 5x = -2 Add '7' to each side of the equation. -7 + 7 + 5x = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = -2 + 7 5x = -2 + 7 Combine like terms: -2 + 7 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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