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Simplifying 1 + 5(x + -7) = 10 + -7(x + -2) Reorder the terms: 1 + 5(-7 + x) = 10 + -7(x + -2) 1 + (-7 * 5 + x * 5) = 10 + -7(x + -2) 1 + (-35 + 5x) = 10 + -7(x + -2) Combine like terms: 1 + -35 = -34 -34 + 5x = 10 + -7(x + -2) Reorder the terms: -34 + 5x = 10 + -7(-2 + x) -34 + 5x = 10 + (-2 * -7 + x * -7) -34 + 5x = 10 + (14 + -7x) Combine like terms: 10 + 14 = 24 -34 + 5x = 24 + -7x Solving -34 + 5x = 24 + -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. -34 + 5x + 7x = 24 + -7x + 7x Combine like terms: 5x + 7x = 12x -34 + 12x = 24 + -7x + 7x Combine like terms: -7x + 7x = 0 -34 + 12x = 24 + 0 -34 + 12x = 24 Add '34' to each side of the equation. -34 + 34 + 12x = 24 + 34 Combine like terms: -34 + 34 = 0 0 + 12x = 24 + 34 12x = 24 + 34 Combine like terms: 24 + 34 = 58 12x = 58 Divide each side by '12'. x = 4.833333333 Simplifying x = 4.833333333
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