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Simplifying 1 + -4x + -48 = 5x + -11 Reorder the terms: 1 + -48 + -4x = 5x + -11 Combine like terms: 1 + -48 = -47 -47 + -4x = 5x + -11 Reorder the terms: -47 + -4x = -11 + 5x Solving -47 + -4x = -11 + 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 + -4x + -5x = -11 + 5x + -5x Combine like terms: -4x + -5x = -9x -47 + -9x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + -9x = -11 + 0 -47 + -9x = -11 Add '47' to each side of the equation. -47 + 47 + -9x = -11 + 47 Combine like terms: -47 + 47 = 0 0 + -9x = -11 + 47 -9x = -11 + 47 Combine like terms: -11 + 47 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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