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Simplifying 7x + -1(6x + 4) = 3x + -50 Reorder the terms: 7x + -1(4 + 6x) = 3x + -50 7x + (4 * -1 + 6x * -1) = 3x + -50 7x + (-4 + -6x) = 3x + -50 Reorder the terms: -4 + 7x + -6x = 3x + -50 Combine like terms: 7x + -6x = 1x -4 + 1x = 3x + -50 Reorder the terms: -4 + 1x = -50 + 3x Solving -4 + 1x = -50 + 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. -4 + 1x + -3x = -50 + 3x + -3x Combine like terms: 1x + -3x = -2x -4 + -2x = -50 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -2x = -50 + 0 -4 + -2x = -50 Add '4' to each side of the equation. -4 + 4 + -2x = -50 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -50 + 4 -2x = -50 + 4 Combine like terms: -50 + 4 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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