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Simplifying 7(x + -14) = 5(x + 2) Reorder the terms: 7(-14 + x) = 5(x + 2) (-14 * 7 + x * 7) = 5(x + 2) (-98 + 7x) = 5(x + 2) Reorder the terms: -98 + 7x = 5(2 + x) -98 + 7x = (2 * 5 + x * 5) -98 + 7x = (10 + 5x) Solving -98 + 7x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -98 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x -98 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -98 + 2x = 10 + 0 -98 + 2x = 10 Add '98' to each side of the equation. -98 + 98 + 2x = 10 + 98 Combine like terms: -98 + 98 = 0 0 + 2x = 10 + 98 2x = 10 + 98 Combine like terms: 10 + 98 = 108 2x = 108 Divide each side by '2'. x = 54 Simplifying x = 54
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