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Simplifying 2(8 + -3x) = 4x + -34 (8 * 2 + -3x * 2) = 4x + -34 (16 + -6x) = 4x + -34 Reorder the terms: 16 + -6x = -34 + 4x Solving 16 + -6x = -34 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 16 + -6x + -4x = -34 + 4x + -4x Combine like terms: -6x + -4x = -10x 16 + -10x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -10x = -34 + 0 16 + -10x = -34 Add '-16' to each side of the equation. 16 + -16 + -10x = -34 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -34 + -16 -10x = -34 + -16 Combine like terms: -34 + -16 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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