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Simplifying 2(6x + -3) + -3(x + 2) = 1 Reorder the terms: 2(-3 + 6x) + -3(x + 2) = 1 (-3 * 2 + 6x * 2) + -3(x + 2) = 1 (-6 + 12x) + -3(x + 2) = 1 Reorder the terms: -6 + 12x + -3(2 + x) = 1 -6 + 12x + (2 * -3 + x * -3) = 1 -6 + 12x + (-6 + -3x) = 1 Reorder the terms: -6 + -6 + 12x + -3x = 1 Combine like terms: -6 + -6 = -12 -12 + 12x + -3x = 1 Combine like terms: 12x + -3x = 9x -12 + 9x = 1 Solving -12 + 9x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 1 + 12 9x = 1 + 12 Combine like terms: 1 + 12 = 13 9x = 13 Divide each side by '9'. x = 1.444444444 Simplifying x = 1.444444444
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