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Simplifying 2x + -6(x + 3) + 3(6x + -8) = 0 Reorder the terms: 2x + -6(3 + x) + 3(6x + -8) = 0 2x + (3 * -6 + x * -6) + 3(6x + -8) = 0 2x + (-18 + -6x) + 3(6x + -8) = 0 Reorder the terms: 2x + -18 + -6x + 3(-8 + 6x) = 0 2x + -18 + -6x + (-8 * 3 + 6x * 3) = 0 2x + -18 + -6x + (-24 + 18x) = 0 Reorder the terms: -18 + -24 + 2x + -6x + 18x = 0 Combine like terms: -18 + -24 = -42 -42 + 2x + -6x + 18x = 0 Combine like terms: 2x + -6x = -4x -42 + -4x + 18x = 0 Combine like terms: -4x + 18x = 14x -42 + 14x = 0 Solving -42 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 14x = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 0 + 42 14x = 0 + 42 Combine like terms: 0 + 42 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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