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Simplifying 5x + -6 = 7x + -12 Reorder the terms: -6 + 5x = 7x + -12 Reorder the terms: -6 + 5x = -12 + 7x Solving -6 + 5x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 5x + -7x = -12 + 7x + -7x Combine like terms: 5x + -7x = -2x -6 + -2x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -2x = -12 + 0 -6 + -2x = -12 Add '6' to each side of the equation. -6 + 6 + -2x = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -12 + 6 -2x = -12 + 6 Combine like terms: -12 + 6 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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