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Simplifying -7(x + -7) + -1(-8x + 9) = 4 Reorder the terms: -7(-7 + x) + -1(-8x + 9) = 4 (-7 * -7 + x * -7) + -1(-8x + 9) = 4 (49 + -7x) + -1(-8x + 9) = 4 Reorder the terms: 49 + -7x + -1(9 + -8x) = 4 49 + -7x + (9 * -1 + -8x * -1) = 4 49 + -7x + (-9 + 8x) = 4 Reorder the terms: 49 + -9 + -7x + 8x = 4 Combine like terms: 49 + -9 = 40 40 + -7x + 8x = 4 Combine like terms: -7x + 8x = 1x 40 + 1x = 4 Solving 40 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 1x = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 4 + -40 1x = 4 + -40 Combine like terms: 4 + -40 = -36 1x = -36 Divide each side by '1'. x = -36 Simplifying x = -36
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