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Simplifying 16x + -47 = 32x + 15 + -20 Reorder the terms: -47 + 16x = 32x + 15 + -20 Reorder the terms: -47 + 16x = 15 + -20 + 32x Combine like terms: 15 + -20 = -5 -47 + 16x = -5 + 32x Solving -47 + 16x = -5 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -47 + 16x + -32x = -5 + 32x + -32x Combine like terms: 16x + -32x = -16x -47 + -16x = -5 + 32x + -32x Combine like terms: 32x + -32x = 0 -47 + -16x = -5 + 0 -47 + -16x = -5 Add '47' to each side of the equation. -47 + 47 + -16x = -5 + 47 Combine like terms: -47 + 47 = 0 0 + -16x = -5 + 47 -16x = -5 + 47 Combine like terms: -5 + 47 = 42 -16x = 42 Divide each side by '-16'. x = -2.625 Simplifying x = -2.625
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