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Simplifying 5(x + -8) + -4 = 21x + -172 Reorder the terms: 5(-8 + x) + -4 = 21x + -172 (-8 * 5 + x * 5) + -4 = 21x + -172 (-40 + 5x) + -4 = 21x + -172 Reorder the terms: -40 + -4 + 5x = 21x + -172 Combine like terms: -40 + -4 = -44 -44 + 5x = 21x + -172 Reorder the terms: -44 + 5x = -172 + 21x Solving -44 + 5x = -172 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -44 + 5x + -21x = -172 + 21x + -21x Combine like terms: 5x + -21x = -16x -44 + -16x = -172 + 21x + -21x Combine like terms: 21x + -21x = 0 -44 + -16x = -172 + 0 -44 + -16x = -172 Add '44' to each side of the equation. -44 + 44 + -16x = -172 + 44 Combine like terms: -44 + 44 = 0 0 + -16x = -172 + 44 -16x = -172 + 44 Combine like terms: -172 + 44 = -128 -16x = -128 Divide each side by '-16'. x = 8 Simplifying x = 8
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