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Simplifying 5(x + 7) = 98 + -2x Reorder the terms: 5(7 + x) = 98 + -2x (7 * 5 + x * 5) = 98 + -2x (35 + 5x) = 98 + -2x Solving 35 + 5x = 98 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 35 + 5x + 2x = 98 + -2x + 2x Combine like terms: 5x + 2x = 7x 35 + 7x = 98 + -2x + 2x Combine like terms: -2x + 2x = 0 35 + 7x = 98 + 0 35 + 7x = 98 Add '-35' to each side of the equation. 35 + -35 + 7x = 98 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = 98 + -35 7x = 98 + -35 Combine like terms: 98 + -35 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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