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