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Simplifying 5(3x + -8) + -4 = 5(x + -3) + 21 Reorder the terms: 5(-8 + 3x) + -4 = 5(x + -3) + 21 (-8 * 5 + 3x * 5) + -4 = 5(x + -3) + 21 (-40 + 15x) + -4 = 5(x + -3) + 21 Reorder the terms: -40 + -4 + 15x = 5(x + -3) + 21 Combine like terms: -40 + -4 = -44 -44 + 15x = 5(x + -3) + 21 Reorder the terms: -44 + 15x = 5(-3 + x) + 21 -44 + 15x = (-3 * 5 + x * 5) + 21 -44 + 15x = (-15 + 5x) + 21 Reorder the terms: -44 + 15x = -15 + 21 + 5x Combine like terms: -15 + 21 = 6 -44 + 15x = 6 + 5x Solving -44 + 15x = 6 + 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 + 15x + -5x = 6 + 5x + -5x Combine like terms: 15x + -5x = 10x -44 + 10x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -44 + 10x = 6 + 0 -44 + 10x = 6 Add '44' to each side of the equation. -44 + 44 + 10x = 6 + 44 Combine like terms: -44 + 44 = 0 0 + 10x = 6 + 44 10x = 6 + 44 Combine like terms: 6 + 44 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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