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Simplifying 3(4x + -6) = x + 4 Reorder the terms: 3(-6 + 4x) = x + 4 (-6 * 3 + 4x * 3) = x + 4 (-18 + 12x) = x + 4 Reorder the terms: -18 + 12x = 4 + x Solving -18 + 12x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -18 + 12x + -1x = 4 + x + -1x Combine like terms: 12x + -1x = 11x -18 + 11x = 4 + x + -1x Combine like terms: x + -1x = 0 -18 + 11x = 4 + 0 -18 + 11x = 4 Add '18' to each side of the equation. -18 + 18 + 11x = 4 + 18 Combine like terms: -18 + 18 = 0 0 + 11x = 4 + 18 11x = 4 + 18 Combine like terms: 4 + 18 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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