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Simplifying 3(2x + -4) = 8 + 2x + 6 Reorder the terms: 3(-4 + 2x) = 8 + 2x + 6 (-4 * 3 + 2x * 3) = 8 + 2x + 6 (-12 + 6x) = 8 + 2x + 6 Reorder the terms: -12 + 6x = 8 + 6 + 2x Combine like terms: 8 + 6 = 14 -12 + 6x = 14 + 2x Solving -12 + 6x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 6x + -2x = 14 + 2x + -2x Combine like terms: 6x + -2x = 4x -12 + 4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 4x = 14 + 0 -12 + 4x = 14 Add '12' to each side of the equation. -12 + 12 + 4x = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 14 + 12 4x = 14 + 12 Combine like terms: 14 + 12 = 26 4x = 26 Divide each side by '4'. x = 6.5 Simplifying x = 6.5
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