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Simplifying 7x + -4(5x + -11) = -47 Reorder the terms: 7x + -4(-11 + 5x) = -47 7x + (-11 * -4 + 5x * -4) = -47 7x + (44 + -20x) = -47 Reorder the terms: 44 + 7x + -20x = -47 Combine like terms: 7x + -20x = -13x 44 + -13x = -47 Solving 44 + -13x = -47 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 + -13x = -47 + -44 Combine like terms: 44 + -44 = 0 0 + -13x = -47 + -44 -13x = -47 + -44 Combine like terms: -47 + -44 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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