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Simplifying 3x + -2(-4x + 7) = 74 Reorder the terms: 3x + -2(7 + -4x) = 74 3x + (7 * -2 + -4x * -2) = 74 3x + (-14 + 8x) = 74 Reorder the terms: -14 + 3x + 8x = 74 Combine like terms: 3x + 8x = 11x -14 + 11x = 74 Solving -14 + 11x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 11x = 74 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = 74 + 14 11x = 74 + 14 Combine like terms: 74 + 14 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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