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Simplifying 6(x + -3) + -1(5x + 7) = -6 Reorder the terms: 6(-3 + x) + -1(5x + 7) = -6 (-3 * 6 + x * 6) + -1(5x + 7) = -6 (-18 + 6x) + -1(5x + 7) = -6 Reorder the terms: -18 + 6x + -1(7 + 5x) = -6 -18 + 6x + (7 * -1 + 5x * -1) = -6 -18 + 6x + (-7 + -5x) = -6 Reorder the terms: -18 + -7 + 6x + -5x = -6 Combine like terms: -18 + -7 = -25 -25 + 6x + -5x = -6 Combine like terms: 6x + -5x = 1x -25 + 1x = -6 Solving -25 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 1x = -6 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = -6 + 25 1x = -6 + 25 Combine like terms: -6 + 25 = 19 1x = 19 Divide each side by '1'. x = 19 Simplifying x = 19
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