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Simplifying 6(5x + -1) + -5(4x + -9) = 9x + 9 Reorder the terms: 6(-1 + 5x) + -5(4x + -9) = 9x + 9 (-1 * 6 + 5x * 6) + -5(4x + -9) = 9x + 9 (-6 + 30x) + -5(4x + -9) = 9x + 9 Reorder the terms: -6 + 30x + -5(-9 + 4x) = 9x + 9 -6 + 30x + (-9 * -5 + 4x * -5) = 9x + 9 -6 + 30x + (45 + -20x) = 9x + 9 Reorder the terms: -6 + 45 + 30x + -20x = 9x + 9 Combine like terms: -6 + 45 = 39 39 + 30x + -20x = 9x + 9 Combine like terms: 30x + -20x = 10x 39 + 10x = 9x + 9 Reorder the terms: 39 + 10x = 9 + 9x Solving 39 + 10x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 39 + 10x + -9x = 9 + 9x + -9x Combine like terms: 10x + -9x = 1x 39 + 1x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 39 + 1x = 9 + 0 39 + 1x = 9 Add '-39' to each side of the equation. 39 + -39 + 1x = 9 + -39 Combine like terms: 39 + -39 = 0 0 + 1x = 9 + -39 1x = 9 + -39 Combine like terms: 9 + -39 = -30 1x = -30 Divide each side by '1'. x = -30 Simplifying x = -30
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