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Simplifying (5x + -4) = (4x + -7) + 1 Reorder the terms: (-4 + 5x) = (4x + -7) + 1 Remove parenthesis around (-4 + 5x) -4 + 5x = (4x + -7) + 1 Reorder the terms: -4 + 5x = (-7 + 4x) + 1 Remove parenthesis around (-7 + 4x) -4 + 5x = -7 + 4x + 1 Reorder the terms: -4 + 5x = -7 + 1 + 4x Combine like terms: -7 + 1 = -6 -4 + 5x = -6 + 4x Solving -4 + 5x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 5x + -4x = -6 + 4x + -4x Combine like terms: 5x + -4x = 1x -4 + 1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 1x = -6 + 0 -4 + 1x = -6 Add '4' to each side of the equation. -4 + 4 + 1x = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -6 + 4 1x = -6 + 4 Combine like terms: -6 + 4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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