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Simplifying 5(x + -7) + 8(5 + -1x) = 6 Reorder the terms: 5(-7 + x) + 8(5 + -1x) = 6 (-7 * 5 + x * 5) + 8(5 + -1x) = 6 (-35 + 5x) + 8(5 + -1x) = 6 -35 + 5x + (5 * 8 + -1x * 8) = 6 -35 + 5x + (40 + -8x) = 6 Reorder the terms: -35 + 40 + 5x + -8x = 6 Combine like terms: -35 + 40 = 5 5 + 5x + -8x = 6 Combine like terms: 5x + -8x = -3x 5 + -3x = 6 Solving 5 + -3x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 6 + -5 -3x = 6 + -5 Combine like terms: 6 + -5 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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