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Simplifying 6(x + -3) + -4(x + 2) = 0 Reorder the terms: 6(-3 + x) + -4(x + 2) = 0 (-3 * 6 + x * 6) + -4(x + 2) = 0 (-18 + 6x) + -4(x + 2) = 0 Reorder the terms: -18 + 6x + -4(2 + x) = 0 -18 + 6x + (2 * -4 + x * -4) = 0 -18 + 6x + (-8 + -4x) = 0 Reorder the terms: -18 + -8 + 6x + -4x = 0 Combine like terms: -18 + -8 = -26 -26 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -26 + 2x = 0 Solving -26 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 2x = 0 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 0 + 26 2x = 0 + 26 Combine like terms: 0 + 26 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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