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Simplifying 5(2x + -3) + 3(2x + 1) = 12 Reorder the terms: 5(-3 + 2x) + 3(2x + 1) = 12 (-3 * 5 + 2x * 5) + 3(2x + 1) = 12 (-15 + 10x) + 3(2x + 1) = 12 Reorder the terms: -15 + 10x + 3(1 + 2x) = 12 -15 + 10x + (1 * 3 + 2x * 3) = 12 -15 + 10x + (3 + 6x) = 12 Reorder the terms: -15 + 3 + 10x + 6x = 12 Combine like terms: -15 + 3 = -12 -12 + 10x + 6x = 12 Combine like terms: 10x + 6x = 16x -12 + 16x = 12 Solving -12 + 16x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 16x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 16x = 12 + 12 16x = 12 + 12 Combine like terms: 12 + 12 = 24 16x = 24 Divide each side by '16'. x = 1.5 Simplifying x = 1.5
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