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Simplifying -2(8 + 4x) = (8 + 3x) + -101 (8 * -2 + 4x * -2) = (8 + 3x) + -101 (-16 + -8x) = (8 + 3x) + -101 Remove parenthesis around (8 + 3x) -16 + -8x = 8 + 3x + -101 Reorder the terms: -16 + -8x = 8 + -101 + 3x Combine like terms: 8 + -101 = -93 -16 + -8x = -93 + 3x Solving -16 + -8x = -93 + 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. -16 + -8x + -3x = -93 + 3x + -3x Combine like terms: -8x + -3x = -11x -16 + -11x = -93 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + -11x = -93 + 0 -16 + -11x = -93 Add '16' to each side of the equation. -16 + 16 + -11x = -93 + 16 Combine like terms: -16 + 16 = 0 0 + -11x = -93 + 16 -11x = -93 + 16 Combine like terms: -93 + 16 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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