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