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Simplifying 5x + -2 = 12x + -51 Reorder the terms: -2 + 5x = 12x + -51 Reorder the terms: -2 + 5x = -51 + 12x Solving -2 + 5x = -51 + 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. -2 + 5x + -12x = -51 + 12x + -12x Combine like terms: 5x + -12x = -7x -2 + -7x = -51 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -7x = -51 + 0 -2 + -7x = -51 Add '2' to each side of the equation. -2 + 2 + -7x = -51 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = -51 + 2 -7x = -51 + 2 Combine like terms: -51 + 2 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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