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Simplifying -84 = 6(5x + 1) Reorder the terms: -84 = 6(1 + 5x) -84 = (1 * 6 + 5x * 6) -84 = (6 + 30x) Solving -84 = 6 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -84 + -30x = 6 + 30x + -30x Combine like terms: 30x + -30x = 0 -84 + -30x = 6 + 0 -84 + -30x = 6 Add '84' to each side of the equation. -84 + 84 + -30x = 6 + 84 Combine like terms: -84 + 84 = 0 0 + -30x = 6 + 84 -30x = 6 + 84 Combine like terms: 6 + 84 = 90 -30x = 90 Divide each side by '-30'. x = -3 Simplifying x = -3
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