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Simplifying 6(3x + 1) + -4(5x + -2) = 0 Reorder the terms: 6(1 + 3x) + -4(5x + -2) = 0 (1 * 6 + 3x * 6) + -4(5x + -2) = 0 (6 + 18x) + -4(5x + -2) = 0 Reorder the terms: 6 + 18x + -4(-2 + 5x) = 0 6 + 18x + (-2 * -4 + 5x * -4) = 0 6 + 18x + (8 + -20x) = 0 Reorder the terms: 6 + 8 + 18x + -20x = 0 Combine like terms: 6 + 8 = 14 14 + 18x + -20x = 0 Combine like terms: 18x + -20x = -2x 14 + -2x = 0 Solving 14 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = 0 + -14 -2x = 0 + -14 Combine like terms: 0 + -14 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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