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Simplifying -4(x + 6) * 5 = 6(x + 5) + 2 Reorder the terms: -4(6 + x) * 5 = 6(x + 5) + 2 Reorder the terms for easier multiplication: -4 * 5(6 + x) = 6(x + 5) + 2 Multiply -4 * 5 -20(6 + x) = 6(x + 5) + 2 (6 * -20 + x * -20) = 6(x + 5) + 2 (-120 + -20x) = 6(x + 5) + 2 Reorder the terms: -120 + -20x = 6(5 + x) + 2 -120 + -20x = (5 * 6 + x * 6) + 2 -120 + -20x = (30 + 6x) + 2 Reorder the terms: -120 + -20x = 30 + 2 + 6x Combine like terms: 30 + 2 = 32 -120 + -20x = 32 + 6x Solving -120 + -20x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -120 + -20x + -6x = 32 + 6x + -6x Combine like terms: -20x + -6x = -26x -120 + -26x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -120 + -26x = 32 + 0 -120 + -26x = 32 Add '120' to each side of the equation. -120 + 120 + -26x = 32 + 120 Combine like terms: -120 + 120 = 0 0 + -26x = 32 + 120 -26x = 32 + 120 Combine like terms: 32 + 120 = 152 -26x = 152 Divide each side by '-26'. x = -5.846153846 Simplifying x = -5.846153846
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