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Simplifying 6(3x + -5) = 25 + 7x Reorder the terms: 6(-5 + 3x) = 25 + 7x (-5 * 6 + 3x * 6) = 25 + 7x (-30 + 18x) = 25 + 7x Solving -30 + 18x = 25 + 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. -30 + 18x + -7x = 25 + 7x + -7x Combine like terms: 18x + -7x = 11x -30 + 11x = 25 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 11x = 25 + 0 -30 + 11x = 25 Add '30' to each side of the equation. -30 + 30 + 11x = 25 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 25 + 30 11x = 25 + 30 Combine like terms: 25 + 30 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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