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Simplifying 5(2x + -8) + -4 = 5(x + -4) + 21 Reorder the terms: 5(-8 + 2x) + -4 = 5(x + -4) + 21 (-8 * 5 + 2x * 5) + -4 = 5(x + -4) + 21 (-40 + 10x) + -4 = 5(x + -4) + 21 Reorder the terms: -40 + -4 + 10x = 5(x + -4) + 21 Combine like terms: -40 + -4 = -44 -44 + 10x = 5(x + -4) + 21 Reorder the terms: -44 + 10x = 5(-4 + x) + 21 -44 + 10x = (-4 * 5 + x * 5) + 21 -44 + 10x = (-20 + 5x) + 21 Reorder the terms: -44 + 10x = -20 + 21 + 5x Combine like terms: -20 + 21 = 1 -44 + 10x = 1 + 5x Solving -44 + 10x = 1 + 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. -44 + 10x + -5x = 1 + 5x + -5x Combine like terms: 10x + -5x = 5x -44 + 5x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 -44 + 5x = 1 + 0 -44 + 5x = 1 Add '44' to each side of the equation. -44 + 44 + 5x = 1 + 44 Combine like terms: -44 + 44 = 0 0 + 5x = 1 + 44 5x = 1 + 44 Combine like terms: 1 + 44 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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