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Simplifying (5x + -7) = (4x + 40) Reorder the terms: (-7 + 5x) = (4x + 40) Remove parenthesis around (-7 + 5x) -7 + 5x = (4x + 40) Reorder the terms: -7 + 5x = (40 + 4x) Remove parenthesis around (40 + 4x) -7 + 5x = 40 + 4x Solving -7 + 5x = 40 + 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. -7 + 5x + -4x = 40 + 4x + -4x Combine like terms: 5x + -4x = 1x -7 + 1x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 1x = 40 + 0 -7 + 1x = 40 Add '7' to each side of the equation. -7 + 7 + 1x = 40 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 40 + 7 1x = 40 + 7 Combine like terms: 40 + 7 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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