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Simplifying 12(x + -0.5) = 4x + -34 Reorder the terms: 12(-0.5 + x) = 4x + -34 (-0.5 * 12 + x * 12) = 4x + -34 (-6 + 12x) = 4x + -34 Reorder the terms: -6 + 12x = -34 + 4x Solving -6 + 12x = -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. -6 + 12x + -4x = -34 + 4x + -4x Combine like terms: 12x + -4x = 8x -6 + 8x = -34 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 8x = -34 + 0 -6 + 8x = -34 Add '6' to each side of the equation. -6 + 6 + 8x = -34 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -34 + 6 8x = -34 + 6 Combine like terms: -34 + 6 = -28 8x = -28 Divide each side by '8'. x = -3.5 Simplifying x = -3.5
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