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Simplifying -5 + -1(2 + -4x) = 1 + 3x -5 + (2 * -1 + -4x * -1) = 1 + 3x -5 + (-2 + 4x) = 1 + 3x Combine like terms: -5 + -2 = -7 -7 + 4x = 1 + 3x Solving -7 + 4x = 1 + 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. -7 + 4x + -3x = 1 + 3x + -3x Combine like terms: 4x + -3x = 1x -7 + 1x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 1x = 1 + 0 -7 + 1x = 1 Add '7' to each side of the equation. -7 + 7 + 1x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 1 + 7 1x = 1 + 7 Combine like terms: 1 + 7 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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