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Simplifying -2(4x + 8) = (9x + 3) + -2 Reorder the terms: -2(8 + 4x) = (9x + 3) + -2 (8 * -2 + 4x * -2) = (9x + 3) + -2 (-16 + -8x) = (9x + 3) + -2 Reorder the terms: -16 + -8x = (3 + 9x) + -2 Remove parenthesis around (3 + 9x) -16 + -8x = 3 + 9x + -2 Reorder the terms: -16 + -8x = 3 + -2 + 9x Combine like terms: 3 + -2 = 1 -16 + -8x = 1 + 9x Solving -16 + -8x = 1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -16 + -8x + -9x = 1 + 9x + -9x Combine like terms: -8x + -9x = -17x -16 + -17x = 1 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -17x = 1 + 0 -16 + -17x = 1 Add '16' to each side of the equation. -16 + 16 + -17x = 1 + 16 Combine like terms: -16 + 16 = 0 0 + -17x = 1 + 16 -17x = 1 + 16 Combine like terms: 1 + 16 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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