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Simplifying 8(-5 + -8x) + -8x = 38 + 6x (-5 * 8 + -8x * 8) + -8x = 38 + 6x (-40 + -64x) + -8x = 38 + 6x Combine like terms: -64x + -8x = -72x -40 + -72x = 38 + 6x Solving -40 + -72x = 38 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -40 + -72x + -6x = 38 + 6x + -6x Combine like terms: -72x + -6x = -78x -40 + -78x = 38 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + -78x = 38 + 0 -40 + -78x = 38 Add '40' to each side of the equation. -40 + 40 + -78x = 38 + 40 Combine like terms: -40 + 40 = 0 0 + -78x = 38 + 40 -78x = 38 + 40 Combine like terms: 38 + 40 = 78 -78x = 78 Divide each side by '-78'. x = -1 Simplifying x = -1
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