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