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Simplifying 51 = 2(-3 + 8x) + -5(-7 + x) 51 = (-3 * 2 + 8x * 2) + -5(-7 + x) 51 = (-6 + 16x) + -5(-7 + x) 51 = -6 + 16x + (-7 * -5 + x * -5) 51 = -6 + 16x + (35 + -5x) Reorder the terms: 51 = -6 + 35 + 16x + -5x Combine like terms: -6 + 35 = 29 51 = 29 + 16x + -5x Combine like terms: 16x + -5x = 11x 51 = 29 + 11x Solving 51 = 29 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 51 + -11x = 29 + 11x + -11x Combine like terms: 11x + -11x = 0 51 + -11x = 29 + 0 51 + -11x = 29 Add '-51' to each side of the equation. 51 + -51 + -11x = 29 + -51 Combine like terms: 51 + -51 = 0 0 + -11x = 29 + -51 -11x = 29 + -51 Combine like terms: 29 + -51 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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