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Simplifying -2x + 6(x + -1) + 3x + -1(4 + -1x) = -1(x + 5) + -5 Reorder the terms: -2x + 6(-1 + x) + 3x + -1(4 + -1x) = -1(x + 5) + -5 -2x + (-1 * 6 + x * 6) + 3x + -1(4 + -1x) = -1(x + 5) + -5 -2x + (-6 + 6x) + 3x + -1(4 + -1x) = -1(x + 5) + -5 -2x + -6 + 6x + 3x + (4 * -1 + -1x * -1) = -1(x + 5) + -5 -2x + -6 + 6x + 3x + (-4 + 1x) = -1(x + 5) + -5 Reorder the terms: -6 + -4 + -2x + 6x + 3x + 1x = -1(x + 5) + -5 Combine like terms: -6 + -4 = -10 -10 + -2x + 6x + 3x + 1x = -1(x + 5) + -5 Combine like terms: -2x + 6x = 4x -10 + 4x + 3x + 1x = -1(x + 5) + -5 Combine like terms: 4x + 3x = 7x -10 + 7x + 1x = -1(x + 5) + -5 Combine like terms: 7x + 1x = 8x -10 + 8x = -1(x + 5) + -5 Reorder the terms: -10 + 8x = -1(5 + x) + -5 -10 + 8x = (5 * -1 + x * -1) + -5 -10 + 8x = (-5 + -1x) + -5 Reorder the terms: -10 + 8x = -5 + -5 + -1x Combine like terms: -5 + -5 = -10 -10 + 8x = -10 + -1x Add '10' to each side of the equation. -10 + 10 + 8x = -10 + 10 + -1x Combine like terms: -10 + 10 = 0 0 + 8x = -10 + 10 + -1x 8x = -10 + 10 + -1x Combine like terms: -10 + 10 = 0 8x = 0 + -1x 8x = -1x Solving 8x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8x + x = -1x + x Combine like terms: 8x + x = 9x 9x = -1x + x Combine like terms: -1x + x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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