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