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Simplifying 7x + -1(3x + 4) = 5x + -50 Reorder the terms: 7x + -1(4 + 3x) = 5x + -50 7x + (4 * -1 + 3x * -1) = 5x + -50 7x + (-4 + -3x) = 5x + -50 Reorder the terms: -4 + 7x + -3x = 5x + -50 Combine like terms: 7x + -3x = 4x -4 + 4x = 5x + -50 Reorder the terms: -4 + 4x = -50 + 5x Solving -4 + 4x = -50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 4x + -5x = -50 + 5x + -5x Combine like terms: 4x + -5x = -1x -4 + -1x = -50 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -1x = -50 + 0 -4 + -1x = -50 Add '4' to each side of the equation. -4 + 4 + -1x = -50 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -50 + 4 -1x = -50 + 4 Combine like terms: -50 + 4 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46
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