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Simplifying 6(5 + -1x) + -1(4x + -6) = 5(2 + -4x) + 6 (5 * 6 + -1x * 6) + -1(4x + -6) = 5(2 + -4x) + 6 (30 + -6x) + -1(4x + -6) = 5(2 + -4x) + 6 Reorder the terms: 30 + -6x + -1(-6 + 4x) = 5(2 + -4x) + 6 30 + -6x + (-6 * -1 + 4x * -1) = 5(2 + -4x) + 6 30 + -6x + (6 + -4x) = 5(2 + -4x) + 6 Reorder the terms: 30 + 6 + -6x + -4x = 5(2 + -4x) + 6 Combine like terms: 30 + 6 = 36 36 + -6x + -4x = 5(2 + -4x) + 6 Combine like terms: -6x + -4x = -10x 36 + -10x = 5(2 + -4x) + 6 36 + -10x = (2 * 5 + -4x * 5) + 6 36 + -10x = (10 + -20x) + 6 Reorder the terms: 36 + -10x = 10 + 6 + -20x Combine like terms: 10 + 6 = 16 36 + -10x = 16 + -20x Solving 36 + -10x = 16 + -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. 36 + -10x + 20x = 16 + -20x + 20x Combine like terms: -10x + 20x = 10x 36 + 10x = 16 + -20x + 20x Combine like terms: -20x + 20x = 0 36 + 10x = 16 + 0 36 + 10x = 16 Add '-36' to each side of the equation. 36 + -36 + 10x = 16 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = 16 + -36 10x = 16 + -36 Combine like terms: 16 + -36 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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