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Simplifying 7x + -1(3x + -2) = 46 Reorder the terms: 7x + -1(-2 + 3x) = 46 7x + (-2 * -1 + 3x * -1) = 46 7x + (2 + -3x) = 46 Reorder the terms: 2 + 7x + -3x = 46 Combine like terms: 7x + -3x = 4x 2 + 4x = 46 Solving 2 + 4x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 4x = 46 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 46 + -2 4x = 46 + -2 Combine like terms: 46 + -2 = 44 4x = 44 Divide each side by '4'. x = 11 Simplifying x = 11
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