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Simplifying 3(2x + 5) + -2(x + -4) = 0 Reorder the terms: 3(5 + 2x) + -2(x + -4) = 0 (5 * 3 + 2x * 3) + -2(x + -4) = 0 (15 + 6x) + -2(x + -4) = 0 Reorder the terms: 15 + 6x + -2(-4 + x) = 0 15 + 6x + (-4 * -2 + x * -2) = 0 15 + 6x + (8 + -2x) = 0 Reorder the terms: 15 + 8 + 6x + -2x = 0 Combine like terms: 15 + 8 = 23 23 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x 23 + 4x = 0 Solving 23 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 0 + -23 4x = 0 + -23 Combine like terms: 0 + -23 = -23 4x = -23 Divide each side by '4'. x = -5.75 Simplifying x = -5.75
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