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Simplifying 5(2x + 8) + -3(2 + -3x) = 0 Reorder the terms: 5(8 + 2x) + -3(2 + -3x) = 0 (8 * 5 + 2x * 5) + -3(2 + -3x) = 0 (40 + 10x) + -3(2 + -3x) = 0 40 + 10x + (2 * -3 + -3x * -3) = 0 40 + 10x + (-6 + 9x) = 0 Reorder the terms: 40 + -6 + 10x + 9x = 0 Combine like terms: 40 + -6 = 34 34 + 10x + 9x = 0 Combine like terms: 10x + 9x = 19x 34 + 19x = 0 Solving 34 + 19x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 19x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 19x = 0 + -34 19x = 0 + -34 Combine like terms: 0 + -34 = -34 19x = -34 Divide each side by '19'. x = -1.789473684 Simplifying x = -1.789473684
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