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Simplifying 2(15x + -9) = 8x + 5 + 12x + 7 Reorder the terms: 2(-9 + 15x) = 8x + 5 + 12x + 7 (-9 * 2 + 15x * 2) = 8x + 5 + 12x + 7 (-18 + 30x) = 8x + 5 + 12x + 7 Reorder the terms: -18 + 30x = 5 + 7 + 8x + 12x Combine like terms: 5 + 7 = 12 -18 + 30x = 12 + 8x + 12x Combine like terms: 8x + 12x = 20x -18 + 30x = 12 + 20x Solving -18 + 30x = 12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -18 + 30x + -20x = 12 + 20x + -20x Combine like terms: 30x + -20x = 10x -18 + 10x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 -18 + 10x = 12 + 0 -18 + 10x = 12 Add '18' to each side of the equation. -18 + 18 + 10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = 12 + 18 10x = 12 + 18 Combine like terms: 12 + 18 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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