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Simplifying 7x + -3(x + 7) = -46 Reorder the terms: 7x + -3(7 + x) = -46 7x + (7 * -3 + x * -3) = -46 7x + (-21 + -3x) = -46 Reorder the terms: -21 + 7x + -3x = -46 Combine like terms: 7x + -3x = 4x -21 + 4x = -46 Solving -21 + 4x = -46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 4x = -46 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = -46 + 21 4x = -46 + 21 Combine like terms: -46 + 21 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25
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