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Simplifying 3(4x + -15) = 6x + 15 Reorder the terms: 3(-15 + 4x) = 6x + 15 (-15 * 3 + 4x * 3) = 6x + 15 (-45 + 12x) = 6x + 15 Reorder the terms: -45 + 12x = 15 + 6x Solving -45 + 12x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -45 + 12x + -6x = 15 + 6x + -6x Combine like terms: 12x + -6x = 6x -45 + 6x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -45 + 6x = 15 + 0 -45 + 6x = 15 Add '45' to each side of the equation. -45 + 45 + 6x = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 15 + 45 6x = 15 + 45 Combine like terms: 15 + 45 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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