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Simplifying 2(12x + -6) + 3x = 1 + 4x Reorder the terms: 2(-6 + 12x) + 3x = 1 + 4x (-6 * 2 + 12x * 2) + 3x = 1 + 4x (-12 + 24x) + 3x = 1 + 4x Combine like terms: 24x + 3x = 27x -12 + 27x = 1 + 4x Solving -12 + 27x = 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 + 27x + -4x = 1 + 4x + -4x Combine like terms: 27x + -4x = 23x -12 + 23x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 23x = 1 + 0 -12 + 23x = 1 Add '12' to each side of the equation. -12 + 12 + 23x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 23x = 1 + 12 23x = 1 + 12 Combine like terms: 1 + 12 = 13 23x = 13 Divide each side by '23'. x = 0.5652173913 Simplifying x = 0.5652173913
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