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Simplifying 3x + 5(x + -7) = 3(x + -5) Reorder the terms: 3x + 5(-7 + x) = 3(x + -5) 3x + (-7 * 5 + x * 5) = 3(x + -5) 3x + (-35 + 5x) = 3(x + -5) Reorder the terms: -35 + 3x + 5x = 3(x + -5) Combine like terms: 3x + 5x = 8x -35 + 8x = 3(x + -5) Reorder the terms: -35 + 8x = 3(-5 + x) -35 + 8x = (-5 * 3 + x * 3) -35 + 8x = (-15 + 3x) Solving -35 + 8x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 8x + -3x = -15 + 3x + -3x Combine like terms: 8x + -3x = 5x -35 + 5x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 5x = -15 + 0 -35 + 5x = -15 Add '35' to each side of the equation. -35 + 35 + 5x = -15 + 35 Combine like terms: -35 + 35 = 0 0 + 5x = -15 + 35 5x = -15 + 35 Combine like terms: -15 + 35 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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