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Simplifying 90 = (5x + 7) + (9x + -1) Reorder the terms: 90 = (7 + 5x) + (9x + -1) Remove parenthesis around (7 + 5x) 90 = 7 + 5x + (9x + -1) Reorder the terms: 90 = 7 + 5x + (-1 + 9x) Remove parenthesis around (-1 + 9x) 90 = 7 + 5x + -1 + 9x Reorder the terms: 90 = 7 + -1 + 5x + 9x Combine like terms: 7 + -1 = 6 90 = 6 + 5x + 9x Combine like terms: 5x + 9x = 14x 90 = 6 + 14x Solving 90 = 6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 90 + -14x = 6 + 14x + -14x Combine like terms: 14x + -14x = 0 90 + -14x = 6 + 0 90 + -14x = 6 Add '-90' to each side of the equation. 90 + -90 + -14x = 6 + -90 Combine like terms: 90 + -90 = 0 0 + -14x = 6 + -90 -14x = 6 + -90 Combine like terms: 6 + -90 = -84 -14x = -84 Divide each side by '-14'. x = 6 Simplifying x = 6
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