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Simplifying 6(x + -5) + -1(5x + -9) = 8 Reorder the terms: 6(-5 + x) + -1(5x + -9) = 8 (-5 * 6 + x * 6) + -1(5x + -9) = 8 (-30 + 6x) + -1(5x + -9) = 8 Reorder the terms: -30 + 6x + -1(-9 + 5x) = 8 -30 + 6x + (-9 * -1 + 5x * -1) = 8 -30 + 6x + (9 + -5x) = 8 Reorder the terms: -30 + 9 + 6x + -5x = 8 Combine like terms: -30 + 9 = -21 -21 + 6x + -5x = 8 Combine like terms: 6x + -5x = 1x -21 + 1x = 8 Solving -21 + 1x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1x = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 8 + 21 1x = 8 + 21 Combine like terms: 8 + 21 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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