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Simplifying 5x + 7 + -1(-3x + 1) = x Reorder the terms: 5x + 7 + -1(1 + -3x) = x 5x + 7 + (1 * -1 + -3x * -1) = x 5x + 7 + (-1 + 3x) = x Reorder the terms: 7 + -1 + 5x + 3x = x Combine like terms: 7 + -1 = 6 6 + 5x + 3x = x Combine like terms: 5x + 3x = 8x 6 + 8x = x Solving 6 + 8x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 8x + -1x = x + -1x Combine like terms: 8x + -1x = 7x 6 + 7x = x + -1x Combine like terms: x + -1x = 0 6 + 7x = 0 Add '-6' to each side of the equation. 6 + -6 + 7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 0 + -6 7x = 0 + -6 Combine like terms: 0 + -6 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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