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Simplifying 2(x + -5) + 3(4x + -6) = 0 Reorder the terms: 2(-5 + x) + 3(4x + -6) = 0 (-5 * 2 + x * 2) + 3(4x + -6) = 0 (-10 + 2x) + 3(4x + -6) = 0 Reorder the terms: -10 + 2x + 3(-6 + 4x) = 0 -10 + 2x + (-6 * 3 + 4x * 3) = 0 -10 + 2x + (-18 + 12x) = 0 Reorder the terms: -10 + -18 + 2x + 12x = 0 Combine like terms: -10 + -18 = -28 -28 + 2x + 12x = 0 Combine like terms: 2x + 12x = 14x -28 + 14x = 0 Solving -28 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 14x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 0 + 28 14x = 0 + 28 Combine like terms: 0 + 28 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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