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Simplifying 2(4x + -5) + -1(6x + 3) = 0 Reorder the terms: 2(-5 + 4x) + -1(6x + 3) = 0 (-5 * 2 + 4x * 2) + -1(6x + 3) = 0 (-10 + 8x) + -1(6x + 3) = 0 Reorder the terms: -10 + 8x + -1(3 + 6x) = 0 -10 + 8x + (3 * -1 + 6x * -1) = 0 -10 + 8x + (-3 + -6x) = 0 Reorder the terms: -10 + -3 + 8x + -6x = 0 Combine like terms: -10 + -3 = -13 -13 + 8x + -6x = 0 Combine like terms: 8x + -6x = 2x -13 + 2x = 0 Solving -13 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 0 + 13 2x = 0 + 13 Combine like terms: 0 + 13 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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