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Simplifying 2(3x + -2) + 7(x + -3) = 0 Reorder the terms: 2(-2 + 3x) + 7(x + -3) = 0 (-2 * 2 + 3x * 2) + 7(x + -3) = 0 (-4 + 6x) + 7(x + -3) = 0 Reorder the terms: -4 + 6x + 7(-3 + x) = 0 -4 + 6x + (-3 * 7 + x * 7) = 0 -4 + 6x + (-21 + 7x) = 0 Reorder the terms: -4 + -21 + 6x + 7x = 0 Combine like terms: -4 + -21 = -25 -25 + 6x + 7x = 0 Combine like terms: 6x + 7x = 13x -25 + 13x = 0 Solving -25 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 13x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 13x = 0 + 25 13x = 0 + 25 Combine like terms: 0 + 25 = 25 13x = 25 Divide each side by '13'. x = 1.923076923 Simplifying x = 1.923076923
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