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