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Simplifying 3(4x + 1) + -9 = 6(2 + -1x) Reorder the terms: 3(1 + 4x) + -9 = 6(2 + -1x) (1 * 3 + 4x * 3) + -9 = 6(2 + -1x) (3 + 12x) + -9 = 6(2 + -1x) Reorder the terms: 3 + -9 + 12x = 6(2 + -1x) Combine like terms: 3 + -9 = -6 -6 + 12x = 6(2 + -1x) -6 + 12x = (2 * 6 + -1x * 6) -6 + 12x = (12 + -6x) Solving -6 + 12x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -6 + 12x + 6x = 12 + -6x + 6x Combine like terms: 12x + 6x = 18x -6 + 18x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 18x = 12 + 0 -6 + 18x = 12 Add '6' to each side of the equation. -6 + 6 + 18x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = 12 + 6 18x = 12 + 6 Combine like terms: 12 + 6 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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