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Simplifying -113 = -4x + 5(-2x + -3) Reorder the terms: -113 = -4x + 5(-3 + -2x) -113 = -4x + (-3 * 5 + -2x * 5) -113 = -4x + (-15 + -10x) Reorder the terms: -113 = -15 + -4x + -10x Combine like terms: -4x + -10x = -14x -113 = -15 + -14x Solving -113 = -15 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -113 + 14x = -15 + -14x + 14x Combine like terms: -14x + 14x = 0 -113 + 14x = -15 + 0 -113 + 14x = -15 Add '113' to each side of the equation. -113 + 113 + 14x = -15 + 113 Combine like terms: -113 + 113 = 0 0 + 14x = -15 + 113 14x = -15 + 113 Combine like terms: -15 + 113 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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