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Simplifying 6x + -3 + -3x + -12 = 12x + -15x + -3 Reorder the terms: -3 + -12 + 6x + -3x = 12x + -15x + -3 Combine like terms: -3 + -12 = -15 -15 + 6x + -3x = 12x + -15x + -3 Combine like terms: 6x + -3x = 3x -15 + 3x = 12x + -15x + -3 Reorder the terms: -15 + 3x = -3 + 12x + -15x Combine like terms: 12x + -15x = -3x -15 + 3x = -3 + -3x Solving -15 + 3x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -15 + 3x + 3x = -3 + -3x + 3x Combine like terms: 3x + 3x = 6x -15 + 6x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 6x = -3 + 0 -15 + 6x = -3 Add '15' to each side of the equation. -15 + 15 + 6x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 6x = -3 + 15 6x = -3 + 15 Combine like terms: -3 + 15 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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