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Simplifying 2(3x + 4) + -5(x + 2) = 12 Reorder the terms: 2(4 + 3x) + -5(x + 2) = 12 (4 * 2 + 3x * 2) + -5(x + 2) = 12 (8 + 6x) + -5(x + 2) = 12 Reorder the terms: 8 + 6x + -5(2 + x) = 12 8 + 6x + (2 * -5 + x * -5) = 12 8 + 6x + (-10 + -5x) = 12 Reorder the terms: 8 + -10 + 6x + -5x = 12 Combine like terms: 8 + -10 = -2 -2 + 6x + -5x = 12 Combine like terms: 6x + -5x = 1x -2 + 1x = 12 Solving -2 + 1x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 1x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 12 + 2 1x = 12 + 2 Combine like terms: 12 + 2 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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