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Simplifying 8(2x + 5) + -7(x + -9) = 0 Reorder the terms: 8(5 + 2x) + -7(x + -9) = 0 (5 * 8 + 2x * 8) + -7(x + -9) = 0 (40 + 16x) + -7(x + -9) = 0 Reorder the terms: 40 + 16x + -7(-9 + x) = 0 40 + 16x + (-9 * -7 + x * -7) = 0 40 + 16x + (63 + -7x) = 0 Reorder the terms: 40 + 63 + 16x + -7x = 0 Combine like terms: 40 + 63 = 103 103 + 16x + -7x = 0 Combine like terms: 16x + -7x = 9x 103 + 9x = 0 Solving 103 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-103' to each side of the equation. 103 + -103 + 9x = 0 + -103 Combine like terms: 103 + -103 = 0 0 + 9x = 0 + -103 9x = 0 + -103 Combine like terms: 0 + -103 = -103 9x = -103 Divide each side by '9'. x = -11.44444444 Simplifying x = -11.44444444
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