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Simplifying 7(2x + 3) + -4(3x + -2) = 0 Reorder the terms: 7(3 + 2x) + -4(3x + -2) = 0 (3 * 7 + 2x * 7) + -4(3x + -2) = 0 (21 + 14x) + -4(3x + -2) = 0 Reorder the terms: 21 + 14x + -4(-2 + 3x) = 0 21 + 14x + (-2 * -4 + 3x * -4) = 0 21 + 14x + (8 + -12x) = 0 Reorder the terms: 21 + 8 + 14x + -12x = 0 Combine like terms: 21 + 8 = 29 29 + 14x + -12x = 0 Combine like terms: 14x + -12x = 2x 29 + 2x = 0 Solving 29 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 2x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 2x = 0 + -29 2x = 0 + -29 Combine like terms: 0 + -29 = -29 2x = -29 Divide each side by '2'. x = -14.5 Simplifying x = -14.5
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