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Simplifying -4(8x + 3) = 17 + -3x Reorder the terms: -4(3 + 8x) = 17 + -3x (3 * -4 + 8x * -4) = 17 + -3x (-12 + -32x) = 17 + -3x Solving -12 + -32x = 17 + -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. -12 + -32x + 3x = 17 + -3x + 3x Combine like terms: -32x + 3x = -29x -12 + -29x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + -29x = 17 + 0 -12 + -29x = 17 Add '12' to each side of the equation. -12 + 12 + -29x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + -29x = 17 + 12 -29x = 17 + 12 Combine like terms: 17 + 12 = 29 -29x = 29 Divide each side by '-29'. x = -1 Simplifying x = -1
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