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Simplifying 7x + -4 + -1(4x + -2) = -1(x + 5) + -6x + 4 Reorder the terms: 7x + -4 + -1(-2 + 4x) = -1(x + 5) + -6x + 4 7x + -4 + (-2 * -1 + 4x * -1) = -1(x + 5) + -6x + 4 7x + -4 + (2 + -4x) = -1(x + 5) + -6x + 4 Reorder the terms: -4 + 2 + 7x + -4x = -1(x + 5) + -6x + 4 Combine like terms: -4 + 2 = -2 -2 + 7x + -4x = -1(x + 5) + -6x + 4 Combine like terms: 7x + -4x = 3x -2 + 3x = -1(x + 5) + -6x + 4 Reorder the terms: -2 + 3x = -1(5 + x) + -6x + 4 -2 + 3x = (5 * -1 + x * -1) + -6x + 4 -2 + 3x = (-5 + -1x) + -6x + 4 Reorder the terms: -2 + 3x = -5 + 4 + -1x + -6x Combine like terms: -5 + 4 = -1 -2 + 3x = -1 + -1x + -6x Combine like terms: -1x + -6x = -7x -2 + 3x = -1 + -7x Solving -2 + 3x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -2 + 3x + 7x = -1 + -7x + 7x Combine like terms: 3x + 7x = 10x -2 + 10x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 -2 + 10x = -1 + 0 -2 + 10x = -1 Add '2' to each side of the equation. -2 + 2 + 10x = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -1 + 2 10x = -1 + 2 Combine like terms: -1 + 2 = 1 10x = 1 Divide each side by '10'. x = 0.1 Simplifying x = 0.1
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