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Simplifying 8x + -47 = 5(x + -4) Reorder the terms: -47 + 8x = 5(x + -4) Reorder the terms: -47 + 8x = 5(-4 + x) -47 + 8x = (-4 * 5 + x * 5) -47 + 8x = (-20 + 5x) Solving -47 + 8x = -20 + 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. -47 + 8x + -5x = -20 + 5x + -5x Combine like terms: 8x + -5x = 3x -47 + 3x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 3x = -20 + 0 -47 + 3x = -20 Add '47' to each side of the equation. -47 + 47 + 3x = -20 + 47 Combine like terms: -47 + 47 = 0 0 + 3x = -20 + 47 3x = -20 + 47 Combine like terms: -20 + 47 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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