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Simplifying 7x + -1(5x + 3) = 3x + -46 Reorder the terms: 7x + -1(3 + 5x) = 3x + -46 7x + (3 * -1 + 5x * -1) = 3x + -46 7x + (-3 + -5x) = 3x + -46 Reorder the terms: -3 + 7x + -5x = 3x + -46 Combine like terms: 7x + -5x = 2x -3 + 2x = 3x + -46 Reorder the terms: -3 + 2x = -46 + 3x Solving -3 + 2x = -46 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 2x + -3x = -46 + 3x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -46 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -1x = -46 + 0 -3 + -1x = -46 Add '3' to each side of the equation. -3 + 3 + -1x = -46 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -46 + 3 -1x = -46 + 3 Combine like terms: -46 + 3 = -43 -1x = -43 Divide each side by '-1'. x = 43 Simplifying x = 43
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