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Simplifying 7(x + -8) + -1(2x + 8) = -29 Reorder the terms: 7(-8 + x) + -1(2x + 8) = -29 (-8 * 7 + x * 7) + -1(2x + 8) = -29 (-56 + 7x) + -1(2x + 8) = -29 Reorder the terms: -56 + 7x + -1(8 + 2x) = -29 -56 + 7x + (8 * -1 + 2x * -1) = -29 -56 + 7x + (-8 + -2x) = -29 Reorder the terms: -56 + -8 + 7x + -2x = -29 Combine like terms: -56 + -8 = -64 -64 + 7x + -2x = -29 Combine like terms: 7x + -2x = 5x -64 + 5x = -29 Solving -64 + 5x = -29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 5x = -29 + 64 Combine like terms: -64 + 64 = 0 0 + 5x = -29 + 64 5x = -29 + 64 Combine like terms: -29 + 64 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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