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Simplifying -4 + 5x + -1(1 + 4x) = 5 + -3x + 6 -4 + 5x + (1 * -1 + 4x * -1) = 5 + -3x + 6 -4 + 5x + (-1 + -4x) = 5 + -3x + 6 Reorder the terms: -4 + -1 + 5x + -4x = 5 + -3x + 6 Combine like terms: -4 + -1 = -5 -5 + 5x + -4x = 5 + -3x + 6 Combine like terms: 5x + -4x = 1x -5 + 1x = 5 + -3x + 6 Reorder the terms: -5 + 1x = 5 + 6 + -3x Combine like terms: 5 + 6 = 11 -5 + 1x = 11 + -3x Solving -5 + 1x = 11 + -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. -5 + 1x + 3x = 11 + -3x + 3x Combine like terms: 1x + 3x = 4x -5 + 4x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 4x = 11 + 0 -5 + 4x = 11 Add '5' to each side of the equation. -5 + 5 + 4x = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 11 + 5 4x = 11 + 5 Combine like terms: 11 + 5 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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