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Simplifying 7(2x + 1) + -4(3x + 2) = 0 Reorder the terms: 7(1 + 2x) + -4(3x + 2) = 0 (1 * 7 + 2x * 7) + -4(3x + 2) = 0 (7 + 14x) + -4(3x + 2) = 0 Reorder the terms: 7 + 14x + -4(2 + 3x) = 0 7 + 14x + (2 * -4 + 3x * -4) = 0 7 + 14x + (-8 + -12x) = 0 Reorder the terms: 7 + -8 + 14x + -12x = 0 Combine like terms: 7 + -8 = -1 -1 + 14x + -12x = 0 Combine like terms: 14x + -12x = 2x -1 + 2x = 0 Solving -1 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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