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Simplifying -51 + -10x = 7x + 7 Reorder the terms: -51 + -10x = 7 + 7x Solving -51 + -10x = 7 + 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. -51 + -10x + -7x = 7 + 7x + -7x Combine like terms: -10x + -7x = -17x -51 + -17x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 -51 + -17x = 7 + 0 -51 + -17x = 7 Add '51' to each side of the equation. -51 + 51 + -17x = 7 + 51 Combine like terms: -51 + 51 = 0 0 + -17x = 7 + 51 -17x = 7 + 51 Combine like terms: 7 + 51 = 58 -17x = 58 Divide each side by '-17'. x = -3.411764706 Simplifying x = -3.411764706
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