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Simplifying 2(-4x + 1) + -1x = 3 + -1(7x + 1) Reorder the terms: 2(1 + -4x) + -1x = 3 + -1(7x + 1) (1 * 2 + -4x * 2) + -1x = 3 + -1(7x + 1) (2 + -8x) + -1x = 3 + -1(7x + 1) Combine like terms: -8x + -1x = -9x 2 + -9x = 3 + -1(7x + 1) Reorder the terms: 2 + -9x = 3 + -1(1 + 7x) 2 + -9x = 3 + (1 * -1 + 7x * -1) 2 + -9x = 3 + (-1 + -7x) Combine like terms: 3 + -1 = 2 2 + -9x = 2 + -7x Add '-2' to each side of the equation. 2 + -2 + -9x = 2 + -2 + -7x Combine like terms: 2 + -2 = 0 0 + -9x = 2 + -2 + -7x -9x = 2 + -2 + -7x Combine like terms: 2 + -2 = 0 -9x = 0 + -7x -9x = -7x Solving -9x = -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -9x + 7x = -7x + 7x Combine like terms: -9x + 7x = -2x -2x = -7x + 7x Combine like terms: -7x + 7x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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