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Simplifying 7(2 + 3x + 4) + 2(3 + -1x) = 0 Reorder the terms: 7(2 + 4 + 3x) + 2(3 + -1x) = 0 Combine like terms: 2 + 4 = 6 7(6 + 3x) + 2(3 + -1x) = 0 (6 * 7 + 3x * 7) + 2(3 + -1x) = 0 (42 + 21x) + 2(3 + -1x) = 0 42 + 21x + (3 * 2 + -1x * 2) = 0 42 + 21x + (6 + -2x) = 0 Reorder the terms: 42 + 6 + 21x + -2x = 0 Combine like terms: 42 + 6 = 48 48 + 21x + -2x = 0 Combine like terms: 21x + -2x = 19x 48 + 19x = 0 Solving 48 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 19x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 19x = 0 + -48 19x = 0 + -48 Combine like terms: 0 + -48 = -48 19x = -48 Divide each side by '19'. x = -2.526315789 Simplifying x = -2.526315789
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