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Simplifying 5x + -6(-3x + -4) = -114 Reorder the terms: 5x + -6(-4 + -3x) = -114 5x + (-4 * -6 + -3x * -6) = -114 5x + (24 + 18x) = -114 Reorder the terms: 24 + 5x + 18x = -114 Combine like terms: 5x + 18x = 23x 24 + 23x = -114 Solving 24 + 23x = -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 + 23x = -114 + -24 Combine like terms: 24 + -24 = 0 0 + 23x = -114 + -24 23x = -114 + -24 Combine like terms: -114 + -24 = -138 23x = -138 Divide each side by '23'. x = -6 Simplifying x = -6
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