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Simplifying 5(1 + -6x) + -6 = 89 (1 * 5 + -6x * 5) + -6 = 89 (5 + -30x) + -6 = 89 Reorder the terms: 5 + -6 + -30x = 89 Combine like terms: 5 + -6 = -1 -1 + -30x = 89 Solving -1 + -30x = 89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -30x = 89 + 1 Combine like terms: -1 + 1 = 0 0 + -30x = 89 + 1 -30x = 89 + 1 Combine like terms: 89 + 1 = 90 -30x = 90 Divide each side by '-30'. x = -3 Simplifying x = -3
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