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Simplifying 6x + -1 = 5(x + -8) + 2 Reorder the terms: -1 + 6x = 5(x + -8) + 2 Reorder the terms: -1 + 6x = 5(-8 + x) + 2 -1 + 6x = (-8 * 5 + x * 5) + 2 -1 + 6x = (-40 + 5x) + 2 Reorder the terms: -1 + 6x = -40 + 2 + 5x Combine like terms: -40 + 2 = -38 -1 + 6x = -38 + 5x Solving -1 + 6x = -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. -1 + 6x + -5x = -38 + 5x + -5x Combine like terms: 6x + -5x = 1x -1 + 1x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + 1x = -38 + 0 -1 + 1x = -38 Add '1' to each side of the equation. -1 + 1 + 1x = -38 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = -38 + 1 1x = -38 + 1 Combine like terms: -38 + 1 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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