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Simplifying 46 = 7x + 2(-6x + 3) Reorder the terms: 46 = 7x + 2(3 + -6x) 46 = 7x + (3 * 2 + -6x * 2) 46 = 7x + (6 + -12x) Reorder the terms: 46 = 6 + 7x + -12x Combine like terms: 7x + -12x = -5x 46 = 6 + -5x Solving 46 = 6 + -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 + 5x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 46 + 5x = 6 + 0 46 + 5x = 6 Add '-46' to each side of the equation. 46 + -46 + 5x = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 5x = 6 + -46 5x = 6 + -46 Combine like terms: 6 + -46 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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