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Simplifying 3 + 5(x + -7) = 3(x + 6) Reorder the terms: 3 + 5(-7 + x) = 3(x + 6) 3 + (-7 * 5 + x * 5) = 3(x + 6) 3 + (-35 + 5x) = 3(x + 6) Combine like terms: 3 + -35 = -32 -32 + 5x = 3(x + 6) Reorder the terms: -32 + 5x = 3(6 + x) -32 + 5x = (6 * 3 + x * 3) -32 + 5x = (18 + 3x) Solving -32 + 5x = 18 + 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. -32 + 5x + -3x = 18 + 3x + -3x Combine like terms: 5x + -3x = 2x -32 + 2x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + 2x = 18 + 0 -32 + 2x = 18 Add '32' to each side of the equation. -32 + 32 + 2x = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 18 + 32 2x = 18 + 32 Combine like terms: 18 + 32 = 50 2x = 50 Divide each side by '2'. x = 25 Simplifying x = 25
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