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Simplifying -3(2x + -4) + 6x + -8 = 4x + 2 Reorder the terms: -3(-4 + 2x) + 6x + -8 = 4x + 2 (-4 * -3 + 2x * -3) + 6x + -8 = 4x + 2 (12 + -6x) + 6x + -8 = 4x + 2 Reorder the terms: 12 + -8 + -6x + 6x = 4x + 2 Combine like terms: 12 + -8 = 4 4 + -6x + 6x = 4x + 2 Combine like terms: -6x + 6x = 0 4 + 0 = 4x + 2 4 = 4x + 2 Reorder the terms: 4 = 2 + 4x Solving 4 = 2 + 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. 4 + -4x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -4x = 2 + 0 4 + -4x = 2 Add '-4' to each side of the equation. 4 + -4 + -4x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = 2 + -4 -4x = 2 + -4 Combine like terms: 2 + -4 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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