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Simplifying -8(x + 7) + -1(-9x + -4) = -7 Reorder the terms: -8(7 + x) + -1(-9x + -4) = -7 (7 * -8 + x * -8) + -1(-9x + -4) = -7 (-56 + -8x) + -1(-9x + -4) = -7 Reorder the terms: -56 + -8x + -1(-4 + -9x) = -7 -56 + -8x + (-4 * -1 + -9x * -1) = -7 -56 + -8x + (4 + 9x) = -7 Reorder the terms: -56 + 4 + -8x + 9x = -7 Combine like terms: -56 + 4 = -52 -52 + -8x + 9x = -7 Combine like terms: -8x + 9x = 1x -52 + 1x = -7 Solving -52 + 1x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 1x = -7 + 52 Combine like terms: -52 + 52 = 0 0 + 1x = -7 + 52 1x = -7 + 52 Combine like terms: -7 + 52 = 45 1x = 45 Divide each side by '1'. x = 45 Simplifying x = 45
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