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Simplifying 5(3x + -8) + -4 = 5(x + -4) + 46 Reorder the terms: 5(-8 + 3x) + -4 = 5(x + -4) + 46 (-8 * 5 + 3x * 5) + -4 = 5(x + -4) + 46 (-40 + 15x) + -4 = 5(x + -4) + 46 Reorder the terms: -40 + -4 + 15x = 5(x + -4) + 46 Combine like terms: -40 + -4 = -44 -44 + 15x = 5(x + -4) + 46 Reorder the terms: -44 + 15x = 5(-4 + x) + 46 -44 + 15x = (-4 * 5 + x * 5) + 46 -44 + 15x = (-20 + 5x) + 46 Reorder the terms: -44 + 15x = -20 + 46 + 5x Combine like terms: -20 + 46 = 26 -44 + 15x = 26 + 5x Solving -44 + 15x = 26 + 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 = 26 + 5x + -5x Combine like terms: 15x + -5x = 10x -44 + 10x = 26 + 5x + -5x Combine like terms: 5x + -5x = 0 -44 + 10x = 26 + 0 -44 + 10x = 26 Add '44' to each side of the equation. -44 + 44 + 10x = 26 + 44 Combine like terms: -44 + 44 = 0 0 + 10x = 26 + 44 10x = 26 + 44 Combine like terms: 26 + 44 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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