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Simplifying 3(6x + 8) + -5(2x + 3) = 0 Reorder the terms: 3(8 + 6x) + -5(2x + 3) = 0 (8 * 3 + 6x * 3) + -5(2x + 3) = 0 (24 + 18x) + -5(2x + 3) = 0 Reorder the terms: 24 + 18x + -5(3 + 2x) = 0 24 + 18x + (3 * -5 + 2x * -5) = 0 24 + 18x + (-15 + -10x) = 0 Reorder the terms: 24 + -15 + 18x + -10x = 0 Combine like terms: 24 + -15 = 9 9 + 18x + -10x = 0 Combine like terms: 18x + -10x = 8x 9 + 8x = 0 Solving 9 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 0 + -9 8x = 0 + -9 Combine like terms: 0 + -9 = -9 8x = -9 Divide each side by '8'. x = -1.125 Simplifying x = -1.125
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