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Simplifying 46 = -6x + -4(-3x + -4) Reorder the terms: 46 = -6x + -4(-4 + -3x) 46 = -6x + (-4 * -4 + -3x * -4) 46 = -6x + (16 + 12x) Reorder the terms: 46 = 16 + -6x + 12x Combine like terms: -6x + 12x = 6x 46 = 16 + 6x Solving 46 = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 46 + -6x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 46 + -6x = 16 + 0 46 + -6x = 16 Add '-46' to each side of the equation. 46 + -46 + -6x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -6x = 16 + -46 -6x = 16 + -46 Combine like terms: 16 + -46 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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