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Simplifying -113 = 5x + -4(5x + 2) Reorder the terms: -113 = 5x + -4(2 + 5x) -113 = 5x + (2 * -4 + 5x * -4) -113 = 5x + (-8 + -20x) Reorder the terms: -113 = -8 + 5x + -20x Combine like terms: 5x + -20x = -15x -113 = -8 + -15x Solving -113 = -8 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -113 + 15x = -8 + -15x + 15x Combine like terms: -15x + 15x = 0 -113 + 15x = -8 + 0 -113 + 15x = -8 Add '113' to each side of the equation. -113 + 113 + 15x = -8 + 113 Combine like terms: -113 + 113 = 0 0 + 15x = -8 + 113 15x = -8 + 113 Combine like terms: -8 + 113 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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