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Simplifying 5x = 8 + -23(x + 2) Reorder the terms: 5x = 8 + -23(2 + x) 5x = 8 + (2 * -23 + x * -23) 5x = 8 + (-46 + -23x) Combine like terms: 8 + -46 = -38 5x = -38 + -23x Solving 5x = -38 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 5x + 23x = -38 + -23x + 23x Combine like terms: 5x + 23x = 28x 28x = -38 + -23x + 23x Combine like terms: -23x + 23x = 0 28x = -38 + 0 28x = -38 Divide each side by '28'. x = -1.357142857 Simplifying x = -1.357142857
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