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