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Simplifying -5x + -23(x + 2) = -3(9x + 5) Reorder the terms: -5x + -23(2 + x) = -3(9x + 5) -5x + (2 * -23 + x * -23) = -3(9x + 5) -5x + (-46 + -23x) = -3(9x + 5) Reorder the terms: -46 + -5x + -23x = -3(9x + 5) Combine like terms: -5x + -23x = -28x -46 + -28x = -3(9x + 5) Reorder the terms: -46 + -28x = -3(5 + 9x) -46 + -28x = (5 * -3 + 9x * -3) -46 + -28x = (-15 + -27x) Solving -46 + -28x = -15 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -46 + -28x + 27x = -15 + -27x + 27x Combine like terms: -28x + 27x = -1x -46 + -1x = -15 + -27x + 27x Combine like terms: -27x + 27x = 0 -46 + -1x = -15 + 0 -46 + -1x = -15 Add '46' to each side of the equation. -46 + 46 + -1x = -15 + 46 Combine like terms: -46 + 46 = 0 0 + -1x = -15 + 46 -1x = -15 + 46 Combine like terms: -15 + 46 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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