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Simplifying 3(4x + 2) + 7(x + -5) = 0 Reorder the terms: 3(2 + 4x) + 7(x + -5) = 0 (2 * 3 + 4x * 3) + 7(x + -5) = 0 (6 + 12x) + 7(x + -5) = 0 Reorder the terms: 6 + 12x + 7(-5 + x) = 0 6 + 12x + (-5 * 7 + x * 7) = 0 6 + 12x + (-35 + 7x) = 0 Reorder the terms: 6 + -35 + 12x + 7x = 0 Combine like terms: 6 + -35 = -29 -29 + 12x + 7x = 0 Combine like terms: 12x + 7x = 19x -29 + 19x = 0 Solving -29 + 19x = 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 + 19x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 19x = 0 + 29 19x = 0 + 29 Combine like terms: 0 + 29 = 29 19x = 29 Divide each side by '19'. x = 1.526315789 Simplifying x = 1.526315789
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