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Simplifying 5x + -1(x + 4) = (x + -2) + 4 Reorder the terms: 5x + -1(4 + x) = (x + -2) + 4 5x + (4 * -1 + x * -1) = (x + -2) + 4 5x + (-4 + -1x) = (x + -2) + 4 Reorder the terms: -4 + 5x + -1x = (x + -2) + 4 Combine like terms: 5x + -1x = 4x -4 + 4x = (x + -2) + 4 Reorder the terms: -4 + 4x = (-2 + x) + 4 Remove parenthesis around (-2 + x) -4 + 4x = -2 + x + 4 Reorder the terms: -4 + 4x = -2 + 4 + x Combine like terms: -2 + 4 = 2 -4 + 4x = 2 + x Solving -4 + 4x = 2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 4x + -1x = 2 + x + -1x Combine like terms: 4x + -1x = 3x -4 + 3x = 2 + x + -1x Combine like terms: x + -1x = 0 -4 + 3x = 2 + 0 -4 + 3x = 2 Add '4' to each side of the equation. -4 + 4 + 3x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 2 + 4 3x = 2 + 4 Combine like terms: 2 + 4 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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