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Simplifying 4x + 12 = -5x + 51 Reorder the terms: 12 + 4x = -5x + 51 Reorder the terms: 12 + 4x = 51 + -5x Solving 12 + 4x = 51 + -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 + 4x + 5x = 51 + -5x + 5x Combine like terms: 4x + 5x = 9x 12 + 9x = 51 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 9x = 51 + 0 12 + 9x = 51 Add '-12' to each side of the equation. 12 + -12 + 9x = 51 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 51 + -12 9x = 51 + -12 Combine like terms: 51 + -12 = 39 9x = 39 Divide each side by '9'. x = 4.333333333 Simplifying x = 4.333333333
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