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Simplifying -4x + -6(-3x + -5) = 114 Reorder the terms: -4x + -6(-5 + -3x) = 114 -4x + (-5 * -6 + -3x * -6) = 114 -4x + (30 + 18x) = 114 Reorder the terms: 30 + -4x + 18x = 114 Combine like terms: -4x + 18x = 14x 30 + 14x = 114 Solving 30 + 14x = 114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 14x = 114 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 114 + -30 14x = 114 + -30 Combine like terms: 114 + -30 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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