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Simplifying -6(3x + -5) = -11x + 2 Reorder the terms: -6(-5 + 3x) = -11x + 2 (-5 * -6 + 3x * -6) = -11x + 2 (30 + -18x) = -11x + 2 Reorder the terms: 30 + -18x = 2 + -11x Solving 30 + -18x = 2 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 30 + -18x + 11x = 2 + -11x + 11x Combine like terms: -18x + 11x = -7x 30 + -7x = 2 + -11x + 11x Combine like terms: -11x + 11x = 0 30 + -7x = 2 + 0 30 + -7x = 2 Add '-30' to each side of the equation. 30 + -30 + -7x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -7x = 2 + -30 -7x = 2 + -30 Combine like terms: 2 + -30 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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