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Simplifying 9x + -1(8x + 4) = 7x + -46 Reorder the terms: 9x + -1(4 + 8x) = 7x + -46 9x + (4 * -1 + 8x * -1) = 7x + -46 9x + (-4 + -8x) = 7x + -46 Reorder the terms: -4 + 9x + -8x = 7x + -46 Combine like terms: 9x + -8x = 1x -4 + 1x = 7x + -46 Reorder the terms: -4 + 1x = -46 + 7x Solving -4 + 1x = -46 + 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. -4 + 1x + -7x = -46 + 7x + -7x Combine like terms: 1x + -7x = -6x -4 + -6x = -46 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -6x = -46 + 0 -4 + -6x = -46 Add '4' to each side of the equation. -4 + 4 + -6x = -46 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = -46 + 4 -6x = -46 + 4 Combine like terms: -46 + 4 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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