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Simplifying 5 + 5(x + -1) = 10 + -7(x + -5) Reorder the terms: 5 + 5(-1 + x) = 10 + -7(x + -5) 5 + (-1 * 5 + x * 5) = 10 + -7(x + -5) 5 + (-5 + 5x) = 10 + -7(x + -5) Combine like terms: 5 + -5 = 0 0 + 5x = 10 + -7(x + -5) 5x = 10 + -7(x + -5) Reorder the terms: 5x = 10 + -7(-5 + x) 5x = 10 + (-5 * -7 + x * -7) 5x = 10 + (35 + -7x) Combine like terms: 10 + 35 = 45 5x = 45 + -7x Solving 5x = 45 + -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. 5x + 7x = 45 + -7x + 7x Combine like terms: 5x + 7x = 12x 12x = 45 + -7x + 7x Combine like terms: -7x + 7x = 0 12x = 45 + 0 12x = 45 Divide each side by '12'. x = 3.75 Simplifying x = 3.75
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