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Simplifying 12x + -2 = 2(3x + 5) + 15 Reorder the terms: -2 + 12x = 2(3x + 5) + 15 Reorder the terms: -2 + 12x = 2(5 + 3x) + 15 -2 + 12x = (5 * 2 + 3x * 2) + 15 -2 + 12x = (10 + 6x) + 15 Reorder the terms: -2 + 12x = 10 + 15 + 6x Combine like terms: 10 + 15 = 25 -2 + 12x = 25 + 6x Solving -2 + 12x = 25 + 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. -2 + 12x + -6x = 25 + 6x + -6x Combine like terms: 12x + -6x = 6x -2 + 6x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 6x = 25 + 0 -2 + 6x = 25 Add '2' to each side of the equation. -2 + 2 + 6x = 25 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 25 + 2 6x = 25 + 2 Combine like terms: 25 + 2 = 27 6x = 27 Divide each side by '6'. x = 4.5 Simplifying x = 4.5
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