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Simplifying -1(-2x + -6) = -5(-4x + 6) Reorder the terms: -1(-6 + -2x) = -5(-4x + 6) (-6 * -1 + -2x * -1) = -5(-4x + 6) (6 + 2x) = -5(-4x + 6) Reorder the terms: 6 + 2x = -5(6 + -4x) 6 + 2x = (6 * -5 + -4x * -5) 6 + 2x = (-30 + 20x) Solving 6 + 2x = -30 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 6 + 2x + -20x = -30 + 20x + -20x Combine like terms: 2x + -20x = -18x 6 + -18x = -30 + 20x + -20x Combine like terms: 20x + -20x = 0 6 + -18x = -30 + 0 6 + -18x = -30 Add '-6' to each side of the equation. 6 + -6 + -18x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = -30 + -6 -18x = -30 + -6 Combine like terms: -30 + -6 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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