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Simplifying -6 + 8x + -7 = 5(x + -8) Reorder the terms: -6 + -7 + 8x = 5(x + -8) Combine like terms: -6 + -7 = -13 -13 + 8x = 5(x + -8) Reorder the terms: -13 + 8x = 5(-8 + x) -13 + 8x = (-8 * 5 + x * 5) -13 + 8x = (-40 + 5x) Solving -13 + 8x = -40 + 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. -13 + 8x + -5x = -40 + 5x + -5x Combine like terms: 8x + -5x = 3x -13 + 3x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 3x = -40 + 0 -13 + 3x = -40 Add '13' to each side of the equation. -13 + 13 + 3x = -40 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = -40 + 13 3x = -40 + 13 Combine like terms: -40 + 13 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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