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Simplifying 15 + -6x = 45 + -12x Solving 15 + -6x = 45 + -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. 15 + -6x + 12x = 45 + -12x + 12x Combine like terms: -6x + 12x = 6x 15 + 6x = 45 + -12x + 12x Combine like terms: -12x + 12x = 0 15 + 6x = 45 + 0 15 + 6x = 45 Add '-15' to each side of the equation. 15 + -15 + 6x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 45 + -15 6x = 45 + -15 Combine like terms: 45 + -15 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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