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