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Simplifying 9x + -46 = 4(x + -9) Reorder the terms: -46 + 9x = 4(x + -9) Reorder the terms: -46 + 9x = 4(-9 + x) -46 + 9x = (-9 * 4 + x * 4) -46 + 9x = (-36 + 4x) Solving -46 + 9x = -36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -46 + 9x + -4x = -36 + 4x + -4x Combine like terms: 9x + -4x = 5x -46 + 5x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 -46 + 5x = -36 + 0 -46 + 5x = -36 Add '46' to each side of the equation. -46 + 46 + 5x = -36 + 46 Combine like terms: -46 + 46 = 0 0 + 5x = -36 + 46 5x = -36 + 46 Combine like terms: -36 + 46 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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