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Simplifying (-3x + 46) + (7x + -24) = 90 Reorder the terms: (46 + -3x) + (7x + -24) = 90 Remove parenthesis around (46 + -3x) 46 + -3x + (7x + -24) = 90 Reorder the terms: 46 + -3x + (-24 + 7x) = 90 Remove parenthesis around (-24 + 7x) 46 + -3x + -24 + 7x = 90 Reorder the terms: 46 + -24 + -3x + 7x = 90 Combine like terms: 46 + -24 = 22 22 + -3x + 7x = 90 Combine like terms: -3x + 7x = 4x 22 + 4x = 90 Solving 22 + 4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 4x = 90 + -22 Combine like terms: 22 + -22 = 0 0 + 4x = 90 + -22 4x = 90 + -22 Combine like terms: 90 + -22 = 68 4x = 68 Divide each side by '4'. x = 17 Simplifying x = 17
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