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Simplifying -1(7x + 10) + -10 = -8(4 + x) Reorder the terms: -1(10 + 7x) + -10 = -8(4 + x) (10 * -1 + 7x * -1) + -10 = -8(4 + x) (-10 + -7x) + -10 = -8(4 + x) Reorder the terms: -10 + -10 + -7x = -8(4 + x) Combine like terms: -10 + -10 = -20 -20 + -7x = -8(4 + x) -20 + -7x = (4 * -8 + x * -8) -20 + -7x = (-32 + -8x) Solving -20 + -7x = -32 + -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. -20 + -7x + 8x = -32 + -8x + 8x Combine like terms: -7x + 8x = 1x -20 + 1x = -32 + -8x + 8x Combine like terms: -8x + 8x = 0 -20 + 1x = -32 + 0 -20 + 1x = -32 Add '20' to each side of the equation. -20 + 20 + 1x = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = -32 + 20 1x = -32 + 20 Combine like terms: -32 + 20 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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