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Simplifying 2(3x + -3) + 5(2x + 1) = 15 Reorder the terms: 2(-3 + 3x) + 5(2x + 1) = 15 (-3 * 2 + 3x * 2) + 5(2x + 1) = 15 (-6 + 6x) + 5(2x + 1) = 15 Reorder the terms: -6 + 6x + 5(1 + 2x) = 15 -6 + 6x + (1 * 5 + 2x * 5) = 15 -6 + 6x + (5 + 10x) = 15 Reorder the terms: -6 + 5 + 6x + 10x = 15 Combine like terms: -6 + 5 = -1 -1 + 6x + 10x = 15 Combine like terms: 6x + 10x = 16x -1 + 16x = 15 Solving -1 + 16x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 16x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 16x = 15 + 1 16x = 15 + 1 Combine like terms: 15 + 1 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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