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Simplifying 46 = 4(1 + -2x) + x 46 = (1 * 4 + -2x * 4) + x 46 = (4 + -8x) + x Combine like terms: -8x + x = -7x 46 = 4 + -7x Solving 46 = 4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 46 + 7x = 4 + -7x + 7x Combine like terms: -7x + 7x = 0 46 + 7x = 4 + 0 46 + 7x = 4 Add '-46' to each side of the equation. 46 + -46 + 7x = 4 + -46 Combine like terms: 46 + -46 = 0 0 + 7x = 4 + -46 7x = 4 + -46 Combine like terms: 4 + -46 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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