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Simplifying 90 = (5x + 4) + (7x + -10) Reorder the terms: 90 = (4 + 5x) + (7x + -10) Remove parenthesis around (4 + 5x) 90 = 4 + 5x + (7x + -10) Reorder the terms: 90 = 4 + 5x + (-10 + 7x) Remove parenthesis around (-10 + 7x) 90 = 4 + 5x + -10 + 7x Reorder the terms: 90 = 4 + -10 + 5x + 7x Combine like terms: 4 + -10 = -6 90 = -6 + 5x + 7x Combine like terms: 5x + 7x = 12x 90 = -6 + 12x Solving 90 = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 90 + -12x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 90 + -12x = -6 + 0 90 + -12x = -6 Add '-90' to each side of the equation. 90 + -90 + -12x = -6 + -90 Combine like terms: 90 + -90 = 0 0 + -12x = -6 + -90 -12x = -6 + -90 Combine like terms: -6 + -90 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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