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Simplifying -3x + 1 = 3(x + -1) + 4 Reorder the terms: 1 + -3x = 3(x + -1) + 4 Reorder the terms: 1 + -3x = 3(-1 + x) + 4 1 + -3x = (-1 * 3 + x * 3) + 4 1 + -3x = (-3 + 3x) + 4 Reorder the terms: 1 + -3x = -3 + 4 + 3x Combine like terms: -3 + 4 = 1 1 + -3x = 1 + 3x Add '-1' to each side of the equation. 1 + -1 + -3x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 0 + -3x = 1 + -1 + 3x -3x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 -3x = 0 + 3x -3x = 3x Solving -3x = 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. -3x + -3x = 3x + -3x Combine like terms: -3x + -3x = -6x -6x = 3x + -3x Combine like terms: 3x + -3x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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