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Simplifying 5(2x + 1) + -5 = 2(6x + 6) Reorder the terms: 5(1 + 2x) + -5 = 2(6x + 6) (1 * 5 + 2x * 5) + -5 = 2(6x + 6) (5 + 10x) + -5 = 2(6x + 6) Reorder the terms: 5 + -5 + 10x = 2(6x + 6) Combine like terms: 5 + -5 = 0 0 + 10x = 2(6x + 6) 10x = 2(6x + 6) Reorder the terms: 10x = 2(6 + 6x) 10x = (6 * 2 + 6x * 2) 10x = (12 + 12x) Solving 10x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10x + -12x = 12 + 12x + -12x Combine like terms: 10x + -12x = -2x -2x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -2x = 12 + 0 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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