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Simplifying 46 = 2(4 + -2x) + 2x 46 = (4 * 2 + -2x * 2) + 2x 46 = (8 + -4x) + 2x Combine like terms: -4x + 2x = -2x 46 = 8 + -2x Solving 46 = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 46 + 2x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 46 + 2x = 8 + 0 46 + 2x = 8 Add '-46' to each side of the equation. 46 + -46 + 2x = 8 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = 8 + -46 2x = 8 + -46 Combine like terms: 8 + -46 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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