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Simplifying 3(x + -2) + 2(3x + -4) = 19 Reorder the terms: 3(-2 + x) + 2(3x + -4) = 19 (-2 * 3 + x * 3) + 2(3x + -4) = 19 (-6 + 3x) + 2(3x + -4) = 19 Reorder the terms: -6 + 3x + 2(-4 + 3x) = 19 -6 + 3x + (-4 * 2 + 3x * 2) = 19 -6 + 3x + (-8 + 6x) = 19 Reorder the terms: -6 + -8 + 3x + 6x = 19 Combine like terms: -6 + -8 = -14 -14 + 3x + 6x = 19 Combine like terms: 3x + 6x = 9x -14 + 9x = 19 Solving -14 + 9x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9x = 19 + 14 Combine like terms: -14 + 14 = 0 0 + 9x = 19 + 14 9x = 19 + 14 Combine like terms: 19 + 14 = 33 9x = 33 Divide each side by '9'. x = 3.666666667 Simplifying x = 3.666666667
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