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Simplifying 5x + 51 = 7x + -7 Reorder the terms: 51 + 5x = 7x + -7 Reorder the terms: 51 + 5x = -7 + 7x Solving 51 + 5x = -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 + 5x + -7x = -7 + 7x + -7x Combine like terms: 5x + -7x = -2x 51 + -2x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 51 + -2x = -7 + 0 51 + -2x = -7 Add '-51' to each side of the equation. 51 + -51 + -2x = -7 + -51 Combine like terms: 51 + -51 = 0 0 + -2x = -7 + -51 -2x = -7 + -51 Combine like terms: -7 + -51 = -58 -2x = -58 Divide each side by '-2'. x = 29 Simplifying x = 29
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