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Simplifying 2(-7 + 5x) = 1 + 5(x + -7) (-7 * 2 + 5x * 2) = 1 + 5(x + -7) (-14 + 10x) = 1 + 5(x + -7) Reorder the terms: -14 + 10x = 1 + 5(-7 + x) -14 + 10x = 1 + (-7 * 5 + x * 5) -14 + 10x = 1 + (-35 + 5x) Combine like terms: 1 + -35 = -34 -14 + 10x = -34 + 5x Solving -14 + 10x = -34 + 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. -14 + 10x + -5x = -34 + 5x + -5x Combine like terms: 10x + -5x = 5x -14 + 5x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + 5x = -34 + 0 -14 + 5x = -34 Add '14' to each side of the equation. -14 + 14 + 5x = -34 + 14 Combine like terms: -14 + 14 = 0 0 + 5x = -34 + 14 5x = -34 + 14 Combine like terms: -34 + 14 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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