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Simplifying 5x + -3[9(x + 5) + -1(x + -9)] + -7 = 0 Reorder the terms: 5x + -3[9(5 + x) + -1(x + -9)] + -7 = 0 5x + -3[(5 * 9 + x * 9) + -1(x + -9)] + -7 = 0 5x + -3[(45 + 9x) + -1(x + -9)] + -7 = 0 Reorder the terms: 5x + -3[45 + 9x + -1(-9 + x)] + -7 = 0 5x + -3[45 + 9x + (-9 * -1 + x * -1)] + -7 = 0 5x + -3[45 + 9x + (9 + -1x)] + -7 = 0 Reorder the terms: 5x + -3[45 + 9 + 9x + -1x] + -7 = 0 Combine like terms: 45 + 9 = 54 5x + -3[54 + 9x + -1x] + -7 = 0 Combine like terms: 9x + -1x = 8x 5x + -3[54 + 8x] + -7 = 0 5x + [54 * -3 + 8x * -3] + -7 = 0 5x + [-162 + -24x] + -7 = 0 Reorder the terms: -162 + -7 + 5x + -24x = 0 Combine like terms: -162 + -7 = -169 -169 + 5x + -24x = 0 Combine like terms: 5x + -24x = -19x -169 + -19x = 0 Solving -169 + -19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '169' to each side of the equation. -169 + 169 + -19x = 0 + 169 Combine like terms: -169 + 169 = 0 0 + -19x = 0 + 169 -19x = 0 + 169 Combine like terms: 0 + 169 = 169 -19x = 169 Divide each side by '-19'. x = -8.894736842 Simplifying x = -8.894736842
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