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Simplifying 7x + -4(-2x + 11) = 46 Reorder the terms: 7x + -4(11 + -2x) = 46 7x + (11 * -4 + -2x * -4) = 46 7x + (-44 + 8x) = 46 Reorder the terms: -44 + 7x + 8x = 46 Combine like terms: 7x + 8x = 15x -44 + 15x = 46 Solving -44 + 15x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 15x = 46 + 44 Combine like terms: -44 + 44 = 0 0 + 15x = 46 + 44 15x = 46 + 44 Combine like terms: 46 + 44 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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