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Simplifying 12x + -15 = 5 + -2x + -6 Reorder the terms: -15 + 12x = 5 + -2x + -6 Reorder the terms: -15 + 12x = 5 + -6 + -2x Combine like terms: 5 + -6 = -1 -15 + 12x = -1 + -2x Solving -15 + 12x = -1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 12x + 2x = -1 + -2x + 2x Combine like terms: 12x + 2x = 14x -15 + 14x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 14x = -1 + 0 -15 + 14x = -1 Add '15' to each side of the equation. -15 + 15 + 14x = -1 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = -1 + 15 14x = -1 + 15 Combine like terms: -1 + 15 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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