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Simplifying (-5x + 49) + (9x + 9) = 90 Reorder the terms: (49 + -5x) + (9x + 9) = 90 Remove parenthesis around (49 + -5x) 49 + -5x + (9x + 9) = 90 Reorder the terms: 49 + -5x + (9 + 9x) = 90 Remove parenthesis around (9 + 9x) 49 + -5x + 9 + 9x = 90 Reorder the terms: 49 + 9 + -5x + 9x = 90 Combine like terms: 49 + 9 = 58 58 + -5x + 9x = 90 Combine like terms: -5x + 9x = 4x 58 + 4x = 90 Solving 58 + 4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 4x = 90 + -58 Combine like terms: 58 + -58 = 0 0 + 4x = 90 + -58 4x = 90 + -58 Combine like terms: 90 + -58 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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