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Simplifying 2(3x + -2) = 3(x + -4) + 9 Reorder the terms: 2(-2 + 3x) = 3(x + -4) + 9 (-2 * 2 + 3x * 2) = 3(x + -4) + 9 (-4 + 6x) = 3(x + -4) + 9 Reorder the terms: -4 + 6x = 3(-4 + x) + 9 -4 + 6x = (-4 * 3 + x * 3) + 9 -4 + 6x = (-12 + 3x) + 9 Reorder the terms: -4 + 6x = -12 + 9 + 3x Combine like terms: -12 + 9 = -3 -4 + 6x = -3 + 3x Solving -4 + 6x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -4 + 6x + -3x = -3 + 3x + -3x Combine like terms: 6x + -3x = 3x -4 + 3x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + 3x = -3 + 0 -4 + 3x = -3 Add '4' to each side of the equation. -4 + 4 + 3x = -3 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -3 + 4 3x = -3 + 4 Combine like terms: -3 + 4 = 1 3x = 1 Divide each side by '3'. x = 0.3333333333 Simplifying x = 0.3333333333
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