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Simplifying 5(2x + 3) + -4(6 + -3x) = 0 Reorder the terms: 5(3 + 2x) + -4(6 + -3x) = 0 (3 * 5 + 2x * 5) + -4(6 + -3x) = 0 (15 + 10x) + -4(6 + -3x) = 0 15 + 10x + (6 * -4 + -3x * -4) = 0 15 + 10x + (-24 + 12x) = 0 Reorder the terms: 15 + -24 + 10x + 12x = 0 Combine like terms: 15 + -24 = -9 -9 + 10x + 12x = 0 Combine like terms: 10x + 12x = 22x -9 + 22x = 0 Solving -9 + 22x = 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 + 22x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 22x = 0 + 9 22x = 0 + 9 Combine like terms: 0 + 9 = 9 22x = 9 Divide each side by '22'. x = 0.4090909091 Simplifying x = 0.4090909091
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