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Simplifying -3(x + 1) = 8x + -47 Reorder the terms: -3(1 + x) = 8x + -47 (1 * -3 + x * -3) = 8x + -47 (-3 + -3x) = 8x + -47 Reorder the terms: -3 + -3x = -47 + 8x Solving -3 + -3x = -47 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + -3x + -8x = -47 + 8x + -8x Combine like terms: -3x + -8x = -11x -3 + -11x = -47 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + -11x = -47 + 0 -3 + -11x = -47 Add '3' to each side of the equation. -3 + 3 + -11x = -47 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = -47 + 3 -11x = -47 + 3 Combine like terms: -47 + 3 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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