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Simplifying 4x + -51 = -6x + 29 Reorder the terms: -51 + 4x = -6x + 29 Reorder the terms: -51 + 4x = 29 + -6x Solving -51 + 4x = 29 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -51 + 4x + 6x = 29 + -6x + 6x Combine like terms: 4x + 6x = 10x -51 + 10x = 29 + -6x + 6x Combine like terms: -6x + 6x = 0 -51 + 10x = 29 + 0 -51 + 10x = 29 Add '51' to each side of the equation. -51 + 51 + 10x = 29 + 51 Combine like terms: -51 + 51 = 0 0 + 10x = 29 + 51 10x = 29 + 51 Combine like terms: 29 + 51 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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