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Simplifying 8(3x + 8) + 7(9 + -1x) = 0 Reorder the terms: 8(8 + 3x) + 7(9 + -1x) = 0 (8 * 8 + 3x * 8) + 7(9 + -1x) = 0 (64 + 24x) + 7(9 + -1x) = 0 64 + 24x + (9 * 7 + -1x * 7) = 0 64 + 24x + (63 + -7x) = 0 Reorder the terms: 64 + 63 + 24x + -7x = 0 Combine like terms: 64 + 63 = 127 127 + 24x + -7x = 0 Combine like terms: 24x + -7x = 17x 127 + 17x = 0 Solving 127 + 17x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-127' to each side of the equation. 127 + -127 + 17x = 0 + -127 Combine like terms: 127 + -127 = 0 0 + 17x = 0 + -127 17x = 0 + -127 Combine like terms: 0 + -127 = -127 17x = -127 Divide each side by '17'. x = -7.470588235 Simplifying x = -7.470588235
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