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Simplifying 5x + 12 = 7x + 24 Reorder the terms: 12 + 5x = 7x + 24 Reorder the terms: 12 + 5x = 24 + 7x Solving 12 + 5x = 24 + 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. 12 + 5x + -7x = 24 + 7x + -7x Combine like terms: 5x + -7x = -2x 12 + -2x = 24 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -2x = 24 + 0 12 + -2x = 24 Add '-12' to each side of the equation. 12 + -12 + -2x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 24 + -12 -2x = 24 + -12 Combine like terms: 24 + -12 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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