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Simplifying 5(x + 4) + (7x + -2) = 90 Reorder the terms: 5(4 + x) + (7x + -2) = 90 (4 * 5 + x * 5) + (7x + -2) = 90 (20 + 5x) + (7x + -2) = 90 Reorder the terms: 20 + 5x + (-2 + 7x) = 90 Remove parenthesis around (-2 + 7x) 20 + 5x + -2 + 7x = 90 Reorder the terms: 20 + -2 + 5x + 7x = 90 Combine like terms: 20 + -2 = 18 18 + 5x + 7x = 90 Combine like terms: 5x + 7x = 12x 18 + 12x = 90 Solving 18 + 12x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12x = 90 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 90 + -18 12x = 90 + -18 Combine like terms: 90 + -18 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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