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Simplifying 90 = (2x + 1) + (5x + 5) Reorder the terms: 90 = (1 + 2x) + (5x + 5) Remove parenthesis around (1 + 2x) 90 = 1 + 2x + (5x + 5) Reorder the terms: 90 = 1 + 2x + (5 + 5x) Remove parenthesis around (5 + 5x) 90 = 1 + 2x + 5 + 5x Reorder the terms: 90 = 1 + 5 + 2x + 5x Combine like terms: 1 + 5 = 6 90 = 6 + 2x + 5x Combine like terms: 2x + 5x = 7x 90 = 6 + 7x Solving 90 = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 90 + -7x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 90 + -7x = 6 + 0 90 + -7x = 6 Add '-90' to each side of the equation. 90 + -90 + -7x = 6 + -90 Combine like terms: 90 + -90 = 0 0 + -7x = 6 + -90 -7x = 6 + -90 Combine like terms: 6 + -90 = -84 -7x = -84 Divide each side by '-7'. x = 12 Simplifying x = 12
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