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Simplifying 7x + 5(x + -3) = 5(x + -5) Reorder the terms: 7x + 5(-3 + x) = 5(x + -5) 7x + (-3 * 5 + x * 5) = 5(x + -5) 7x + (-15 + 5x) = 5(x + -5) Reorder the terms: -15 + 7x + 5x = 5(x + -5) Combine like terms: 7x + 5x = 12x -15 + 12x = 5(x + -5) Reorder the terms: -15 + 12x = 5(-5 + x) -15 + 12x = (-5 * 5 + x * 5) -15 + 12x = (-25 + 5x) Solving -15 + 12x = -25 + 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. -15 + 12x + -5x = -25 + 5x + -5x Combine like terms: 12x + -5x = 7x -15 + 7x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 7x = -25 + 0 -15 + 7x = -25 Add '15' to each side of the equation. -15 + 15 + 7x = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -25 + 15 7x = -25 + 15 Combine like terms: -25 + 15 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429
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