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Simplifying 7(3 + 2x) + -4(7 + -3x) = 0 (3 * 7 + 2x * 7) + -4(7 + -3x) = 0 (21 + 14x) + -4(7 + -3x) = 0 21 + 14x + (7 * -4 + -3x * -4) = 0 21 + 14x + (-28 + 12x) = 0 Reorder the terms: 21 + -28 + 14x + 12x = 0 Combine like terms: 21 + -28 = -7 -7 + 14x + 12x = 0 Combine like terms: 14x + 12x = 26x -7 + 26x = 0 Solving -7 + 26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 26x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 26x = 0 + 7 26x = 0 + 7 Combine like terms: 0 + 7 = 7 26x = 7 Divide each side by '26'. x = 0.2692307692 Simplifying x = 0.2692307692
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