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Simplifying 6(2x + -1) = 4(x + 3) + 14 Reorder the terms: 6(-1 + 2x) = 4(x + 3) + 14 (-1 * 6 + 2x * 6) = 4(x + 3) + 14 (-6 + 12x) = 4(x + 3) + 14 Reorder the terms: -6 + 12x = 4(3 + x) + 14 -6 + 12x = (3 * 4 + x * 4) + 14 -6 + 12x = (12 + 4x) + 14 Reorder the terms: -6 + 12x = 12 + 14 + 4x Combine like terms: 12 + 14 = 26 -6 + 12x = 26 + 4x Solving -6 + 12x = 26 + 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 = 26 + 4x + -4x Combine like terms: 12x + -4x = 8x -6 + 8x = 26 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 8x = 26 + 0 -6 + 8x = 26 Add '6' to each side of the equation. -6 + 6 + 8x = 26 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 26 + 6 8x = 26 + 6 Combine like terms: 26 + 6 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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