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Simplifying 3(2x + 5) + 2(x + -2) = 0 Reorder the terms: 3(5 + 2x) + 2(x + -2) = 0 (5 * 3 + 2x * 3) + 2(x + -2) = 0 (15 + 6x) + 2(x + -2) = 0 Reorder the terms: 15 + 6x + 2(-2 + x) = 0 15 + 6x + (-2 * 2 + x * 2) = 0 15 + 6x + (-4 + 2x) = 0 Reorder the terms: 15 + -4 + 6x + 2x = 0 Combine like terms: 15 + -4 = 11 11 + 6x + 2x = 0 Combine like terms: 6x + 2x = 8x 11 + 8x = 0 Solving 11 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8x = 0 + -11 8x = 0 + -11 Combine like terms: 0 + -11 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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