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Simplifying 3 + 5(x + -9) = 10 + -7(x + -5) Reorder the terms: 3 + 5(-9 + x) = 10 + -7(x + -5) 3 + (-9 * 5 + x * 5) = 10 + -7(x + -5) 3 + (-45 + 5x) = 10 + -7(x + -5) Combine like terms: 3 + -45 = -42 -42 + 5x = 10 + -7(x + -5) Reorder the terms: -42 + 5x = 10 + -7(-5 + x) -42 + 5x = 10 + (-5 * -7 + x * -7) -42 + 5x = 10 + (35 + -7x) Combine like terms: 10 + 35 = 45 -42 + 5x = 45 + -7x Solving -42 + 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. -42 + 5x + 7x = 45 + -7x + 7x Combine like terms: 5x + 7x = 12x -42 + 12x = 45 + -7x + 7x Combine like terms: -7x + 7x = 0 -42 + 12x = 45 + 0 -42 + 12x = 45 Add '42' to each side of the equation. -42 + 42 + 12x = 45 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = 45 + 42 12x = 45 + 42 Combine like terms: 45 + 42 = 87 12x = 87 Divide each side by '12'. x = 7.25 Simplifying x = 7.25
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