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Simplifying 4x + -12 = 7x + -51 Reorder the terms: -12 + 4x = 7x + -51 Reorder the terms: -12 + 4x = -51 + 7x Solving -12 + 4x = -51 + 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 + 4x + -7x = -51 + 7x + -7x Combine like terms: 4x + -7x = -3x -12 + -3x = -51 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -3x = -51 + 0 -12 + -3x = -51 Add '12' to each side of the equation. -12 + 12 + -3x = -51 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -51 + 12 -3x = -51 + 12 Combine like terms: -51 + 12 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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