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Simplifying (-5x + 53) + (8x + 25) = 90 Reorder the terms: (53 + -5x) + (8x + 25) = 90 Remove parenthesis around (53 + -5x) 53 + -5x + (8x + 25) = 90 Reorder the terms: 53 + -5x + (25 + 8x) = 90 Remove parenthesis around (25 + 8x) 53 + -5x + 25 + 8x = 90 Reorder the terms: 53 + 25 + -5x + 8x = 90 Combine like terms: 53 + 25 = 78 78 + -5x + 8x = 90 Combine like terms: -5x + 8x = 3x 78 + 3x = 90 Solving 78 + 3x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 3x = 90 + -78 Combine like terms: 78 + -78 = 0 0 + 3x = 90 + -78 3x = 90 + -78 Combine like terms: 90 + -78 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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