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Simplifying 9x + 12 = 5x + 40 Reorder the terms: 12 + 9x = 5x + 40 Reorder the terms: 12 + 9x = 40 + 5x Solving 12 + 9x = 40 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 9x + -5x = 40 + 5x + -5x Combine like terms: 9x + -5x = 4x 12 + 4x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 4x = 40 + 0 12 + 4x = 40 Add '-12' to each side of the equation. 12 + -12 + 4x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 40 + -12 4x = 40 + -12 Combine like terms: 40 + -12 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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