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Simplifying -3x + 1 = 2 + -1(4x + 2) Reorder the terms: 1 + -3x = 2 + -1(4x + 2) Reorder the terms: 1 + -3x = 2 + -1(2 + 4x) 1 + -3x = 2 + (2 * -1 + 4x * -1) 1 + -3x = 2 + (-2 + -4x) Combine like terms: 2 + -2 = 0 1 + -3x = 0 + -4x 1 + -3x = -4x Solving 1 + -3x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + -3x + 4x = -4x + 4x Combine like terms: -3x + 4x = 1x 1 + 1x = -4x + 4x Combine like terms: -4x + 4x = 0 1 + 1x = 0 Add '-1' to each side of the equation. 1 + -1 + 1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 0 + -1 1x = 0 + -1 Combine like terms: 0 + -1 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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