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Simplifying 7(x + -1) + 1(x + 1) = -4x Reorder the terms: 7(-1 + x) + 1(x + 1) = -4x (-1 * 7 + x * 7) + 1(x + 1) = -4x (-7 + 7x) + 1(x + 1) = -4x Reorder the terms: -7 + 7x + 1(1 + x) = -4x -7 + 7x + (1 * 1 + x * 1) = -4x -7 + 7x + (1 + 1x) = -4x Reorder the terms: -7 + 1 + 7x + 1x = -4x Combine like terms: -7 + 1 = -6 -6 + 7x + 1x = -4x Combine like terms: 7x + 1x = 8x -6 + 8x = -4x Solving -6 + 8x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 8x + 4x = -4x + 4x Combine like terms: 8x + 4x = 12x -6 + 12x = -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 12x = 0 Add '6' to each side of the equation. -6 + 6 + 12x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = 0 + 6 12x = 0 + 6 Combine like terms: 0 + 6 = 6 12x = 6 Divide each side by '12'. x = 0.5 Simplifying x = 0.5
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