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Simplifying (7x + -10) = (3x + 46) Reorder the terms: (-10 + 7x) = (3x + 46) Remove parenthesis around (-10 + 7x) -10 + 7x = (3x + 46) Reorder the terms: -10 + 7x = (46 + 3x) Remove parenthesis around (46 + 3x) -10 + 7x = 46 + 3x Solving -10 + 7x = 46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 7x + -3x = 46 + 3x + -3x Combine like terms: 7x + -3x = 4x -10 + 4x = 46 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 4x = 46 + 0 -10 + 4x = 46 Add '10' to each side of the equation. -10 + 10 + 4x = 46 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 46 + 10 4x = 46 + 10 Combine like terms: 46 + 10 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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