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Simplifying -8(4x + -3) = -3x + -34 Reorder the terms: -8(-3 + 4x) = -3x + -34 (-3 * -8 + 4x * -8) = -3x + -34 (24 + -32x) = -3x + -34 Reorder the terms: 24 + -32x = -34 + -3x Solving 24 + -32x = -34 + -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. 24 + -32x + 3x = -34 + -3x + 3x Combine like terms: -32x + 3x = -29x 24 + -29x = -34 + -3x + 3x Combine like terms: -3x + 3x = 0 24 + -29x = -34 + 0 24 + -29x = -34 Add '-24' to each side of the equation. 24 + -24 + -29x = -34 + -24 Combine like terms: 24 + -24 = 0 0 + -29x = -34 + -24 -29x = -34 + -24 Combine like terms: -34 + -24 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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