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Simplifying 9(6 + -1x) + 4x + -8 = 6x + -1(4 + -1x) (6 * 9 + -1x * 9) + 4x + -8 = 6x + -1(4 + -1x) (54 + -9x) + 4x + -8 = 6x + -1(4 + -1x) Reorder the terms: 54 + -8 + -9x + 4x = 6x + -1(4 + -1x) Combine like terms: 54 + -8 = 46 46 + -9x + 4x = 6x + -1(4 + -1x) Combine like terms: -9x + 4x = -5x 46 + -5x = 6x + -1(4 + -1x) 46 + -5x = 6x + (4 * -1 + -1x * -1) 46 + -5x = 6x + (-4 + 1x) Reorder the terms: 46 + -5x = -4 + 6x + 1x Combine like terms: 6x + 1x = 7x 46 + -5x = -4 + 7x Solving 46 + -5x = -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 + -5x + -7x = -4 + 7x + -7x Combine like terms: -5x + -7x = -12x 46 + -12x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 46 + -12x = -4 + 0 46 + -12x = -4 Add '-46' to each side of the equation. 46 + -46 + -12x = -4 + -46 Combine like terms: 46 + -46 = 0 0 + -12x = -4 + -46 -12x = -4 + -46 Combine like terms: -4 + -46 = -50 -12x = -50 Divide each side by '-12'. x = 4.166666667 Simplifying x = 4.166666667
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