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Simplifying 5(2x + -3) + -4(2x + 1) = 12 Reorder the terms: 5(-3 + 2x) + -4(2x + 1) = 12 (-3 * 5 + 2x * 5) + -4(2x + 1) = 12 (-15 + 10x) + -4(2x + 1) = 12 Reorder the terms: -15 + 10x + -4(1 + 2x) = 12 -15 + 10x + (1 * -4 + 2x * -4) = 12 -15 + 10x + (-4 + -8x) = 12 Reorder the terms: -15 + -4 + 10x + -8x = 12 Combine like terms: -15 + -4 = -19 -19 + 10x + -8x = 12 Combine like terms: 10x + -8x = 2x -19 + 2x = 12 Solving -19 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 2x = 12 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = 12 + 19 2x = 12 + 19 Combine like terms: 12 + 19 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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