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Simplifying 4x + -5(3x + 7) = -13 Reorder the terms: 4x + -5(7 + 3x) = -13 4x + (7 * -5 + 3x * -5) = -13 4x + (-35 + -15x) = -13 Reorder the terms: -35 + 4x + -15x = -13 Combine like terms: 4x + -15x = -11x -35 + -11x = -13 Solving -35 + -11x = -13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -11x = -13 + 35 Combine like terms: -35 + 35 = 0 0 + -11x = -13 + 35 -11x = -13 + 35 Combine like terms: -13 + 35 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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