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Simplifying 6(5x + 3) + -4(2x + -5) = 0 Reorder the terms: 6(3 + 5x) + -4(2x + -5) = 0 (3 * 6 + 5x * 6) + -4(2x + -5) = 0 (18 + 30x) + -4(2x + -5) = 0 Reorder the terms: 18 + 30x + -4(-5 + 2x) = 0 18 + 30x + (-5 * -4 + 2x * -4) = 0 18 + 30x + (20 + -8x) = 0 Reorder the terms: 18 + 20 + 30x + -8x = 0 Combine like terms: 18 + 20 = 38 38 + 30x + -8x = 0 Combine like terms: 30x + -8x = 22x 38 + 22x = 0 Solving 38 + 22x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 22x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 22x = 0 + -38 22x = 0 + -38 Combine like terms: 0 + -38 = -38 22x = -38 Divide each side by '22'. x = -1.727272727 Simplifying x = -1.727272727
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