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Simplifying -46x + (-23) = -23(x + 2) -46x + -23 = -23(x + 2) Reorder the terms: -23 + -46x = -23(x + 2) Reorder the terms: -23 + -46x = -23(2 + x) -23 + -46x = (2 * -23 + x * -23) -23 + -46x = (-46 + -23x) Solving -23 + -46x = -46 + -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. -23 + -46x + 23x = -46 + -23x + 23x Combine like terms: -46x + 23x = -23x -23 + -23x = -46 + -23x + 23x Combine like terms: -23x + 23x = 0 -23 + -23x = -46 + 0 -23 + -23x = -46 Add '23' to each side of the equation. -23 + 23 + -23x = -46 + 23 Combine like terms: -23 + 23 = 0 0 + -23x = -46 + 23 -23x = -46 + 23 Combine like terms: -46 + 23 = -23 -23x = -23 Divide each side by '-23'. x = 1 Simplifying x = 1
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