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Simplifying (-2x + 45) + (10x + 29) = 90 Reorder the terms: (45 + -2x) + (10x + 29) = 90 Remove parenthesis around (45 + -2x) 45 + -2x + (10x + 29) = 90 Reorder the terms: 45 + -2x + (29 + 10x) = 90 Remove parenthesis around (29 + 10x) 45 + -2x + 29 + 10x = 90 Reorder the terms: 45 + 29 + -2x + 10x = 90 Combine like terms: 45 + 29 = 74 74 + -2x + 10x = 90 Combine like terms: -2x + 10x = 8x 74 + 8x = 90 Solving 74 + 8x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + 8x = 90 + -74 Combine like terms: 74 + -74 = 0 0 + 8x = 90 + -74 8x = 90 + -74 Combine like terms: 90 + -74 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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