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Simplifying 15(2x + 3) = 5x + -30 Reorder the terms: 15(3 + 2x) = 5x + -30 (3 * 15 + 2x * 15) = 5x + -30 (45 + 30x) = 5x + -30 Reorder the terms: 45 + 30x = -30 + 5x Solving 45 + 30x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + 30x + -5x = -30 + 5x + -5x Combine like terms: 30x + -5x = 25x 45 + 25x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + 25x = -30 + 0 45 + 25x = -30 Add '-45' to each side of the equation. 45 + -45 + 25x = -30 + -45 Combine like terms: 45 + -45 = 0 0 + 25x = -30 + -45 25x = -30 + -45 Combine like terms: -30 + -45 = -75 25x = -75 Divide each side by '25'. x = -3 Simplifying x = -3
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