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Simplifying -3x + 1 = -2(4x + 2) Reorder the terms: 1 + -3x = -2(4x + 2) Reorder the terms: 1 + -3x = -2(2 + 4x) 1 + -3x = (2 * -2 + 4x * -2) 1 + -3x = (-4 + -8x) Solving 1 + -3x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 1 + -3x + 8x = -4 + -8x + 8x Combine like terms: -3x + 8x = 5x 1 + 5x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 5x = -4 + 0 1 + 5x = -4 Add '-1' to each side of the equation. 1 + -1 + 5x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = -4 + -1 5x = -4 + -1 Combine like terms: -4 + -1 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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