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Simplifying (3x + -10) + (x + 12) = 90 Reorder the terms: (-10 + 3x) + (x + 12) = 90 Remove parenthesis around (-10 + 3x) -10 + 3x + (x + 12) = 90 Reorder the terms: -10 + 3x + (12 + x) = 90 Remove parenthesis around (12 + x) -10 + 3x + 12 + x = 90 Reorder the terms: -10 + 12 + 3x + x = 90 Combine like terms: -10 + 12 = 2 2 + 3x + x = 90 Combine like terms: 3x + x = 4x 2 + 4x = 90 Solving 2 + 4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 90 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 90 + -2 4x = 90 + -2 Combine like terms: 90 + -2 = 88 4x = 88 Divide each side by '4'. x = 22 Simplifying x = 22
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