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Simplifying 3(x + -2) = 6(2x + 1) + 6 Reorder the terms: 3(-2 + x) = 6(2x + 1) + 6 (-2 * 3 + x * 3) = 6(2x + 1) + 6 (-6 + 3x) = 6(2x + 1) + 6 Reorder the terms: -6 + 3x = 6(1 + 2x) + 6 -6 + 3x = (1 * 6 + 2x * 6) + 6 -6 + 3x = (6 + 12x) + 6 Reorder the terms: -6 + 3x = 6 + 6 + 12x Combine like terms: 6 + 6 = 12 -6 + 3x = 12 + 12x Solving -6 + 3x = 12 + 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. -6 + 3x + -12x = 12 + 12x + -12x Combine like terms: 3x + -12x = -9x -6 + -9x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -9x = 12 + 0 -6 + -9x = 12 Add '6' to each side of the equation. -6 + 6 + -9x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 12 + 6 -9x = 12 + 6 Combine like terms: 12 + 6 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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