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Simplifying 6(2x + -5) = 7x + 15 Reorder the terms: 6(-5 + 2x) = 7x + 15 (-5 * 6 + 2x * 6) = 7x + 15 (-30 + 12x) = 7x + 15 Reorder the terms: -30 + 12x = 15 + 7x Solving -30 + 12x = 15 + 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 + 12x + -7x = 15 + 7x + -7x Combine like terms: 12x + -7x = 5x -30 + 5x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 5x = 15 + 0 -30 + 5x = 15 Add '30' to each side of the equation. -30 + 30 + 5x = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = 15 + 30 5x = 15 + 30 Combine like terms: 15 + 30 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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