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Simplifying -5 + 6x + -1 = 6(1 + -5x) + 6(5 + 5x) Reorder the terms: -5 + -1 + 6x = 6(1 + -5x) + 6(5 + 5x) Combine like terms: -5 + -1 = -6 -6 + 6x = 6(1 + -5x) + 6(5 + 5x) -6 + 6x = (1 * 6 + -5x * 6) + 6(5 + 5x) -6 + 6x = (6 + -30x) + 6(5 + 5x) -6 + 6x = 6 + -30x + (5 * 6 + 5x * 6) -6 + 6x = 6 + -30x + (30 + 30x) Reorder the terms: -6 + 6x = 6 + 30 + -30x + 30x Combine like terms: 6 + 30 = 36 -6 + 6x = 36 + -30x + 30x Combine like terms: -30x + 30x = 0 -6 + 6x = 36 + 0 -6 + 6x = 36 Solving -6 + 6x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 6x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 36 + 6 6x = 36 + 6 Combine like terms: 36 + 6 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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