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Simplifying (3x + 5) = (4x + -45) Reorder the terms: (5 + 3x) = (4x + -45) Remove parenthesis around (5 + 3x) 5 + 3x = (4x + -45) Reorder the terms: 5 + 3x = (-45 + 4x) Remove parenthesis around (-45 + 4x) 5 + 3x = -45 + 4x Solving 5 + 3x = -45 + 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 = -45 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = -45 + 0 5 + -1x = -45 Add '-5' to each side of the equation. 5 + -5 + -1x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -45 + -5 -1x = -45 + -5 Combine like terms: -45 + -5 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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