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Simplifying 5x + 15 = 12x + -6 Reorder the terms: 15 + 5x = 12x + -6 Reorder the terms: 15 + 5x = -6 + 12x Solving 15 + 5x = -6 + 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 + 5x + -12x = -6 + 12x + -12x Combine like terms: 5x + -12x = -7x 15 + -7x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -7x = -6 + 0 15 + -7x = -6 Add '-15' to each side of the equation. 15 + -15 + -7x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = -6 + -15 -7x = -6 + -15 Combine like terms: -6 + -15 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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