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Simplifying 5(2x + -3) + 4(6x + 8) = 0 Reorder the terms: 5(-3 + 2x) + 4(6x + 8) = 0 (-3 * 5 + 2x * 5) + 4(6x + 8) = 0 (-15 + 10x) + 4(6x + 8) = 0 Reorder the terms: -15 + 10x + 4(8 + 6x) = 0 -15 + 10x + (8 * 4 + 6x * 4) = 0 -15 + 10x + (32 + 24x) = 0 Reorder the terms: -15 + 32 + 10x + 24x = 0 Combine like terms: -15 + 32 = 17 17 + 10x + 24x = 0 Combine like terms: 10x + 24x = 34x 17 + 34x = 0 Solving 17 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 34x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 34x = 0 + -17 34x = 0 + -17 Combine like terms: 0 + -17 = -17 34x = -17 Divide each side by '34'. x = -0.5 Simplifying x = -0.5
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