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Simplifying 5(x + -7) = 8(x + 6) + -6 Reorder the terms: 5(-7 + x) = 8(x + 6) + -6 (-7 * 5 + x * 5) = 8(x + 6) + -6 (-35 + 5x) = 8(x + 6) + -6 Reorder the terms: -35 + 5x = 8(6 + x) + -6 -35 + 5x = (6 * 8 + x * 8) + -6 -35 + 5x = (48 + 8x) + -6 Reorder the terms: -35 + 5x = 48 + -6 + 8x Combine like terms: 48 + -6 = 42 -35 + 5x = 42 + 8x Solving -35 + 5x = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -35 + 5x + -8x = 42 + 8x + -8x Combine like terms: 5x + -8x = -3x -35 + -3x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -3x = 42 + 0 -35 + -3x = 42 Add '35' to each side of the equation. -35 + 35 + -3x = 42 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = 42 + 35 -3x = 42 + 35 Combine like terms: 42 + 35 = 77 -3x = 77 Divide each side by '-3'. x = -25.66666667 Simplifying x = -25.66666667
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