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Simplifying -6(-7 + -3x) = 7x + -13 (-7 * -6 + -3x * -6) = 7x + -13 (42 + 18x) = 7x + -13 Reorder the terms: 42 + 18x = -13 + 7x Solving 42 + 18x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + 18x + -7x = -13 + 7x + -7x Combine like terms: 18x + -7x = 11x 42 + 11x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + 11x = -13 + 0 42 + 11x = -13 Add '-42' to each side of the equation. 42 + -42 + 11x = -13 + -42 Combine like terms: 42 + -42 = 0 0 + 11x = -13 + -42 11x = -13 + -42 Combine like terms: -13 + -42 = -55 11x = -55 Divide each side by '11'. x = -5 Simplifying x = -5
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