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Simplifying 3(2x + -4) = (4x + 1) Reorder the terms: 3(-4 + 2x) = (4x + 1) (-4 * 3 + 2x * 3) = (4x + 1) (-12 + 6x) = (4x + 1) Reorder the terms: -12 + 6x = (1 + 4x) Remove parenthesis around (1 + 4x) -12 + 6x = 1 + 4x Solving -12 + 6x = 1 + 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. -12 + 6x + -4x = 1 + 4x + -4x Combine like terms: 6x + -4x = 2x -12 + 2x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 2x = 1 + 0 -12 + 2x = 1 Add '12' to each side of the equation. -12 + 12 + 2x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 1 + 12 2x = 1 + 12 Combine like terms: 1 + 12 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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