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Simplifying (4x + 52) + (8x + -10) = 90 Reorder the terms: (52 + 4x) + (8x + -10) = 90 Remove parenthesis around (52 + 4x) 52 + 4x + (8x + -10) = 90 Reorder the terms: 52 + 4x + (-10 + 8x) = 90 Remove parenthesis around (-10 + 8x) 52 + 4x + -10 + 8x = 90 Reorder the terms: 52 + -10 + 4x + 8x = 90 Combine like terms: 52 + -10 = 42 42 + 4x + 8x = 90 Combine like terms: 4x + 8x = 12x 42 + 12x = 90 Solving 42 + 12x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 12x = 90 + -42 Combine like terms: 42 + -42 = 0 0 + 12x = 90 + -42 12x = 90 + -42 Combine like terms: 90 + -42 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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