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Simplifying 7x + -1(2x + 4) = -1(4x + -6) + -1(x + 2) Reorder the terms: 7x + -1(4 + 2x) = -1(4x + -6) + -1(x + 2) 7x + (4 * -1 + 2x * -1) = -1(4x + -6) + -1(x + 2) 7x + (-4 + -2x) = -1(4x + -6) + -1(x + 2) Reorder the terms: -4 + 7x + -2x = -1(4x + -6) + -1(x + 2) Combine like terms: 7x + -2x = 5x -4 + 5x = -1(4x + -6) + -1(x + 2) Reorder the terms: -4 + 5x = -1(-6 + 4x) + -1(x + 2) -4 + 5x = (-6 * -1 + 4x * -1) + -1(x + 2) -4 + 5x = (6 + -4x) + -1(x + 2) Reorder the terms: -4 + 5x = 6 + -4x + -1(2 + x) -4 + 5x = 6 + -4x + (2 * -1 + x * -1) -4 + 5x = 6 + -4x + (-2 + -1x) Reorder the terms: -4 + 5x = 6 + -2 + -4x + -1x Combine like terms: 6 + -2 = 4 -4 + 5x = 4 + -4x + -1x Combine like terms: -4x + -1x = -5x -4 + 5x = 4 + -5x Solving -4 + 5x = 4 + -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 + 5x + 5x = 4 + -5x + 5x Combine like terms: 5x + 5x = 10x -4 + 10x = 4 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 10x = 4 + 0 -4 + 10x = 4 Add '4' to each side of the equation. -4 + 4 + 10x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 10x = 4 + 4 10x = 4 + 4 Combine like terms: 4 + 4 = 8 10x = 8 Divide each side by '10'. x = 0.8 Simplifying x = 0.8
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