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Simplifying 6(-7 + -8x) + -6 = -5x + 38 (-7 * 6 + -8x * 6) + -6 = -5x + 38 (-42 + -48x) + -6 = -5x + 38 Reorder the terms: -42 + -6 + -48x = -5x + 38 Combine like terms: -42 + -6 = -48 -48 + -48x = -5x + 38 Reorder the terms: -48 + -48x = 38 + -5x Solving -48 + -48x = 38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -48 + -48x + 5x = 38 + -5x + 5x Combine like terms: -48x + 5x = -43x -48 + -43x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 -48 + -43x = 38 + 0 -48 + -43x = 38 Add '48' to each side of the equation. -48 + 48 + -43x = 38 + 48 Combine like terms: -48 + 48 = 0 0 + -43x = 38 + 48 -43x = 38 + 48 Combine like terms: 38 + 48 = 86 -43x = 86 Divide each side by '-43'. x = -2 Simplifying x = -2
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