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Simplifying 2(4x + 3) + 2(3x + -4) = 12 Reorder the terms: 2(3 + 4x) + 2(3x + -4) = 12 (3 * 2 + 4x * 2) + 2(3x + -4) = 12 (6 + 8x) + 2(3x + -4) = 12 Reorder the terms: 6 + 8x + 2(-4 + 3x) = 12 6 + 8x + (-4 * 2 + 3x * 2) = 12 6 + 8x + (-8 + 6x) = 12 Reorder the terms: 6 + -8 + 8x + 6x = 12 Combine like terms: 6 + -8 = -2 -2 + 8x + 6x = 12 Combine like terms: 8x + 6x = 14x -2 + 14x = 12 Solving -2 + 14x = 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 + 14x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 12 + 2 14x = 12 + 2 Combine like terms: 12 + 2 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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