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Simplifying (3x + -5) = (4x + 7) Reorder the terms: (-5 + 3x) = (4x + 7) Remove parenthesis around (-5 + 3x) -5 + 3x = (4x + 7) Reorder the terms: -5 + 3x = (7 + 4x) Remove parenthesis around (7 + 4x) -5 + 3x = 7 + 4x Solving -5 + 3x = 7 + 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. -5 + 3x + -4x = 7 + 4x + -4x Combine like terms: 3x + -4x = -1x -5 + -1x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -1x = 7 + 0 -5 + -1x = 7 Add '5' to each side of the equation. -5 + 5 + -1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 7 + 5 -1x = 7 + 5 Combine like terms: 7 + 5 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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