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Simplifying 2x + 4(-5x + -6) = -114 Reorder the terms: 2x + 4(-6 + -5x) = -114 2x + (-6 * 4 + -5x * 4) = -114 2x + (-24 + -20x) = -114 Reorder the terms: -24 + 2x + -20x = -114 Combine like terms: 2x + -20x = -18x -24 + -18x = -114 Solving -24 + -18x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -18x = -114 + 24 Combine like terms: -24 + 24 = 0 0 + -18x = -114 + 24 -18x = -114 + 24 Combine like terms: -114 + 24 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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