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Simplifying 5(3x + -8) + -3 = 5(x + -4) + 27 Reorder the terms: 5(-8 + 3x) + -3 = 5(x + -4) + 27 (-8 * 5 + 3x * 5) + -3 = 5(x + -4) + 27 (-40 + 15x) + -3 = 5(x + -4) + 27 Reorder the terms: -40 + -3 + 15x = 5(x + -4) + 27 Combine like terms: -40 + -3 = -43 -43 + 15x = 5(x + -4) + 27 Reorder the terms: -43 + 15x = 5(-4 + x) + 27 -43 + 15x = (-4 * 5 + x * 5) + 27 -43 + 15x = (-20 + 5x) + 27 Reorder the terms: -43 + 15x = -20 + 27 + 5x Combine like terms: -20 + 27 = 7 -43 + 15x = 7 + 5x Solving -43 + 15x = 7 + 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. -43 + 15x + -5x = 7 + 5x + -5x Combine like terms: 15x + -5x = 10x -43 + 10x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + 10x = 7 + 0 -43 + 10x = 7 Add '43' to each side of the equation. -43 + 43 + 10x = 7 + 43 Combine like terms: -43 + 43 = 0 0 + 10x = 7 + 43 10x = 7 + 43 Combine like terms: 7 + 43 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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