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Simplifying 5(6x + 6) + -5 = 1 + 6x Reorder the terms: 5(6 + 6x) + -5 = 1 + 6x (6 * 5 + 6x * 5) + -5 = 1 + 6x (30 + 30x) + -5 = 1 + 6x Reorder the terms: 30 + -5 + 30x = 1 + 6x Combine like terms: 30 + -5 = 25 25 + 30x = 1 + 6x Solving 25 + 30x = 1 + 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. 25 + 30x + -6x = 1 + 6x + -6x Combine like terms: 30x + -6x = 24x 25 + 24x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 24x = 1 + 0 25 + 24x = 1 Add '-25' to each side of the equation. 25 + -25 + 24x = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 24x = 1 + -25 24x = 1 + -25 Combine like terms: 1 + -25 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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