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Simplifying -7(x + 6) + -1x = -4(x + -7) + -2 Reorder the terms: -7(6 + x) + -1x = -4(x + -7) + -2 (6 * -7 + x * -7) + -1x = -4(x + -7) + -2 (-42 + -7x) + -1x = -4(x + -7) + -2 Combine like terms: -7x + -1x = -8x -42 + -8x = -4(x + -7) + -2 Reorder the terms: -42 + -8x = -4(-7 + x) + -2 -42 + -8x = (-7 * -4 + x * -4) + -2 -42 + -8x = (28 + -4x) + -2 Reorder the terms: -42 + -8x = 28 + -2 + -4x Combine like terms: 28 + -2 = 26 -42 + -8x = 26 + -4x Solving -42 + -8x = 26 + -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. -42 + -8x + 4x = 26 + -4x + 4x Combine like terms: -8x + 4x = -4x -42 + -4x = 26 + -4x + 4x Combine like terms: -4x + 4x = 0 -42 + -4x = 26 + 0 -42 + -4x = 26 Add '42' to each side of the equation. -42 + 42 + -4x = 26 + 42 Combine like terms: -42 + 42 = 0 0 + -4x = 26 + 42 -4x = 26 + 42 Combine like terms: 26 + 42 = 68 -4x = 68 Divide each side by '-4'. x = -17 Simplifying x = -17
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