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Simplifying 5(x + -7) + -5x = 2x + -51 Reorder the terms: 5(-7 + x) + -5x = 2x + -51 (-7 * 5 + x * 5) + -5x = 2x + -51 (-35 + 5x) + -5x = 2x + -51 Combine like terms: 5x + -5x = 0 -35 + 0 = 2x + -51 -35 = 2x + -51 Reorder the terms: -35 = -51 + 2x Solving -35 = -51 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -35 + -2x = -51 + 2x + -2x Combine like terms: 2x + -2x = 0 -35 + -2x = -51 + 0 -35 + -2x = -51 Add '35' to each side of the equation. -35 + 35 + -2x = -51 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = -51 + 35 -2x = -51 + 35 Combine like terms: -51 + 35 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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