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Simplifying -8(x + 1) = 3x + 47 Reorder the terms: -8(1 + x) = 3x + 47 (1 * -8 + x * -8) = 3x + 47 (-8 + -8x) = 3x + 47 Reorder the terms: -8 + -8x = 47 + 3x Solving -8 + -8x = 47 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -8x + -3x = 47 + 3x + -3x Combine like terms: -8x + -3x = -11x -8 + -11x = 47 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -11x = 47 + 0 -8 + -11x = 47 Add '8' to each side of the equation. -8 + 8 + -11x = 47 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = 47 + 8 -11x = 47 + 8 Combine like terms: 47 + 8 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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