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Simplifying 51 + -11 = 5(x + -7) Combine like terms: 51 + -11 = 40 40 = 5(x + -7) Reorder the terms: 40 = 5(-7 + x) 40 = (-7 * 5 + x * 5) 40 = (-35 + 5x) Solving 40 = -35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 40 + -5x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + -5x = -35 + 0 40 + -5x = -35 Add '-40' to each side of the equation. 40 + -40 + -5x = -35 + -40 Combine like terms: 40 + -40 = 0 0 + -5x = -35 + -40 -5x = -35 + -40 Combine like terms: -35 + -40 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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