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Simplifying -4(2x + 9) + -1(-8x + 3) + -1(x + 13) = 0 Reorder the terms: -4(9 + 2x) + -1(-8x + 3) + -1(x + 13) = 0 (9 * -4 + 2x * -4) + -1(-8x + 3) + -1(x + 13) = 0 (-36 + -8x) + -1(-8x + 3) + -1(x + 13) = 0 Reorder the terms: -36 + -8x + -1(3 + -8x) + -1(x + 13) = 0 -36 + -8x + (3 * -1 + -8x * -1) + -1(x + 13) = 0 -36 + -8x + (-3 + 8x) + -1(x + 13) = 0 Reorder the terms: -36 + -8x + -3 + 8x + -1(13 + x) = 0 -36 + -8x + -3 + 8x + (13 * -1 + x * -1) = 0 -36 + -8x + -3 + 8x + (-13 + -1x) = 0 Reorder the terms: -36 + -3 + -13 + -8x + 8x + -1x = 0 Combine like terms: -36 + -3 = -39 -39 + -13 + -8x + 8x + -1x = 0 Combine like terms: -39 + -13 = -52 -52 + -8x + 8x + -1x = 0 Combine like terms: -8x + 8x = 0 -52 + 0 + -1x = 0 -52 + -1x = 0 Solving -52 + -1x = 0 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 = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -1x = 0 + 52 -1x = 0 + 52 Combine like terms: 0 + 52 = 52 -1x = 52 Divide each side by '-1'. x = -52 Simplifying x = -52
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