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Simplifying 46 = 30 + -4(x + -2) Reorder the terms: 46 = 30 + -4(-2 + x) 46 = 30 + (-2 * -4 + x * -4) 46 = 30 + (8 + -4x) Combine like terms: 30 + 8 = 38 46 = 38 + -4x Solving 46 = 38 + -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 + 4x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 46 + 4x = 38 + 0 46 + 4x = 38 Add '-46' to each side of the equation. 46 + -46 + 4x = 38 + -46 Combine like terms: 46 + -46 = 0 0 + 4x = 38 + -46 4x = 38 + -46 Combine like terms: 38 + -46 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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