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Simplifying 74 = 2(x + 2) + -2(7x + 1) Reorder the terms: 74 = 2(2 + x) + -2(7x + 1) 74 = (2 * 2 + x * 2) + -2(7x + 1) 74 = (4 + 2x) + -2(7x + 1) Reorder the terms: 74 = 4 + 2x + -2(1 + 7x) 74 = 4 + 2x + (1 * -2 + 7x * -2) 74 = 4 + 2x + (-2 + -14x) Reorder the terms: 74 = 4 + -2 + 2x + -14x Combine like terms: 4 + -2 = 2 74 = 2 + 2x + -14x Combine like terms: 2x + -14x = -12x 74 = 2 + -12x Solving 74 = 2 + -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. 74 + 12x = 2 + -12x + 12x Combine like terms: -12x + 12x = 0 74 + 12x = 2 + 0 74 + 12x = 2 Add '-74' to each side of the equation. 74 + -74 + 12x = 2 + -74 Combine like terms: 74 + -74 = 0 0 + 12x = 2 + -74 12x = 2 + -74 Combine like terms: 2 + -74 = -72 12x = -72 Divide each side by '12'. x = -6 Simplifying x = -6
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